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Simplifying 3(x + 7) + -4 + -7x + 14x + -2(3x + -15) = 4x + -12x + 13 + 2(x + 3) Reorder the terms: 3(7 + x) + -4 + -7x + 14x + -2(3x + -15) = 4x + -12x + 13 + 2(x + 3) (7 * 3 + x * 3) + -4 + -7x + 14x + -2(3x + -15) = 4x + -12x + 13 + 2(x + 3) (21 + 3x) + -4 + -7x + 14x + -2(3x + -15) = 4x + -12x + 13 + 2(x + 3) Reorder the terms: 21 + 3x + -4 + -7x + 14x + -2(-15 + 3x) = 4x + -12x + 13 + 2(x + 3) 21 + 3x + -4 + -7x + 14x + (-15 * -2 + 3x * -2) = 4x + -12x + 13 + 2(x + 3) 21 + 3x + -4 + -7x + 14x + (30 + -6x) = 4x + -12x + 13 + 2(x + 3) Reorder the terms: 21 + -4 + 30 + 3x + -7x + 14x + -6x = 4x + -12x + 13 + 2(x + 3) Combine like terms: 21 + -4 = 17 17 + 30 + 3x + -7x + 14x + -6x = 4x + -12x + 13 + 2(x + 3) Combine like terms: 17 + 30 = 47 47 + 3x + -7x + 14x + -6x = 4x + -12x + 13 + 2(x + 3) Combine like terms: 3x + -7x = -4x 47 + -4x + 14x + -6x = 4x + -12x + 13 + 2(x + 3) Combine like terms: -4x + 14x = 10x 47 + 10x + -6x = 4x + -12x + 13 + 2(x + 3) Combine like terms: 10x + -6x = 4x 47 + 4x = 4x + -12x + 13 + 2(x + 3) Reorder the terms: 47 + 4x = 4x + -12x + 13 + 2(3 + x) 47 + 4x = 4x + -12x + 13 + (3 * 2 + x * 2) 47 + 4x = 4x + -12x + 13 + (6 + 2x) Reorder the terms: 47 + 4x = 13 + 6 + 4x + -12x + 2x Combine like terms: 13 + 6 = 19 47 + 4x = 19 + 4x + -12x + 2x Combine like terms: 4x + -12x = -8x 47 + 4x = 19 + -8x + 2x Combine like terms: -8x + 2x = -6x 47 + 4x = 19 + -6x Solving 47 + 4x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 47 + 4x + 6x = 19 + -6x + 6x Combine like terms: 4x + 6x = 10x 47 + 10x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 47 + 10x = 19 + 0 47 + 10x = 19 Add '-47' to each side of the equation. 47 + -47 + 10x = 19 + -47 Combine like terms: 47 + -47 = 0 0 + 10x = 19 + -47 10x = 19 + -47 Combine like terms: 19 + -47 = -28 10x = -28 Divide each side by '10'. x = -2.8 Simplifying x = -2.8
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