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Simplifying 7(x + 5) + 7 = 3x + -2(4x + -3) Reorder the terms: 7(5 + x) + 7 = 3x + -2(4x + -3) (5 * 7 + x * 7) + 7 = 3x + -2(4x + -3) (35 + 7x) + 7 = 3x + -2(4x + -3) Reorder the terms: 35 + 7 + 7x = 3x + -2(4x + -3) Combine like terms: 35 + 7 = 42 42 + 7x = 3x + -2(4x + -3) Reorder the terms: 42 + 7x = 3x + -2(-3 + 4x) 42 + 7x = 3x + (-3 * -2 + 4x * -2) 42 + 7x = 3x + (6 + -8x) Reorder the terms: 42 + 7x = 6 + 3x + -8x Combine like terms: 3x + -8x = -5x 42 + 7x = 6 + -5x Solving 42 + 7x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 42 + 7x + 5x = 6 + -5x + 5x Combine like terms: 7x + 5x = 12x 42 + 12x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + 12x = 6 + 0 42 + 12x = 6 Add '-42' to each side of the equation. 42 + -42 + 12x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = 6 + -42 12x = 6 + -42 Combine like terms: 6 + -42 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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