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Simplifying 3(4x + -6) + -1(2x + 7) = 10 + -5(4 + -3x) Reorder the terms: 3(-6 + 4x) + -1(2x + 7) = 10 + -5(4 + -3x) (-6 * 3 + 4x * 3) + -1(2x + 7) = 10 + -5(4 + -3x) (-18 + 12x) + -1(2x + 7) = 10 + -5(4 + -3x) Reorder the terms: -18 + 12x + -1(7 + 2x) = 10 + -5(4 + -3x) -18 + 12x + (7 * -1 + 2x * -1) = 10 + -5(4 + -3x) -18 + 12x + (-7 + -2x) = 10 + -5(4 + -3x) Reorder the terms: -18 + -7 + 12x + -2x = 10 + -5(4 + -3x) Combine like terms: -18 + -7 = -25 -25 + 12x + -2x = 10 + -5(4 + -3x) Combine like terms: 12x + -2x = 10x -25 + 10x = 10 + -5(4 + -3x) -25 + 10x = 10 + (4 * -5 + -3x * -5) -25 + 10x = 10 + (-20 + 15x) Combine like terms: 10 + -20 = -10 -25 + 10x = -10 + 15x Solving -25 + 10x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -25 + 10x + -15x = -10 + 15x + -15x Combine like terms: 10x + -15x = -5x -25 + -5x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -25 + -5x = -10 + 0 -25 + -5x = -10 Add '25' to each side of the equation. -25 + 25 + -5x = -10 + 25 Combine like terms: -25 + 25 = 0 0 + -5x = -10 + 25 -5x = -10 + 25 Combine like terms: -10 + 25 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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