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Simplifying 4(3x + -2) + 15 = 6(x + -1) + -1(4x + 1) Reorder the terms: 4(-2 + 3x) + 15 = 6(x + -1) + -1(4x + 1) (-2 * 4 + 3x * 4) + 15 = 6(x + -1) + -1(4x + 1) (-8 + 12x) + 15 = 6(x + -1) + -1(4x + 1) Reorder the terms: -8 + 15 + 12x = 6(x + -1) + -1(4x + 1) Combine like terms: -8 + 15 = 7 7 + 12x = 6(x + -1) + -1(4x + 1) Reorder the terms: 7 + 12x = 6(-1 + x) + -1(4x + 1) 7 + 12x = (-1 * 6 + x * 6) + -1(4x + 1) 7 + 12x = (-6 + 6x) + -1(4x + 1) Reorder the terms: 7 + 12x = -6 + 6x + -1(1 + 4x) 7 + 12x = -6 + 6x + (1 * -1 + 4x * -1) 7 + 12x = -6 + 6x + (-1 + -4x) Reorder the terms: 7 + 12x = -6 + -1 + 6x + -4x Combine like terms: -6 + -1 = -7 7 + 12x = -7 + 6x + -4x Combine like terms: 6x + -4x = 2x 7 + 12x = -7 + 2x Solving 7 + 12x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 12x + -2x = -7 + 2x + -2x Combine like terms: 12x + -2x = 10x 7 + 10x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 10x = -7 + 0 7 + 10x = -7 Add '-7' to each side of the equation. 7 + -7 + 10x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = -7 + -7 10x = -7 + -7 Combine like terms: -7 + -7 = -14 10x = -14 Divide each side by '10'. x = -1.4 Simplifying x = -1.4
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