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Simplifying 2(4x + -5) + -1(6x + -6) = 6 + -3(x + -5) Reorder the terms: 2(-5 + 4x) + -1(6x + -6) = 6 + -3(x + -5) (-5 * 2 + 4x * 2) + -1(6x + -6) = 6 + -3(x + -5) (-10 + 8x) + -1(6x + -6) = 6 + -3(x + -5) Reorder the terms: -10 + 8x + -1(-6 + 6x) = 6 + -3(x + -5) -10 + 8x + (-6 * -1 + 6x * -1) = 6 + -3(x + -5) -10 + 8x + (6 + -6x) = 6 + -3(x + -5) Reorder the terms: -10 + 6 + 8x + -6x = 6 + -3(x + -5) Combine like terms: -10 + 6 = -4 -4 + 8x + -6x = 6 + -3(x + -5) Combine like terms: 8x + -6x = 2x -4 + 2x = 6 + -3(x + -5) Reorder the terms: -4 + 2x = 6 + -3(-5 + x) -4 + 2x = 6 + (-5 * -3 + x * -3) -4 + 2x = 6 + (15 + -3x) Combine like terms: 6 + 15 = 21 -4 + 2x = 21 + -3x Solving -4 + 2x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 2x + 3x = 21 + -3x + 3x Combine like terms: 2x + 3x = 5x -4 + 5x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 5x = 21 + 0 -4 + 5x = 21 Add '4' to each side of the equation. -4 + 4 + 5x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 21 + 4 5x = 21 + 4 Combine like terms: 21 + 4 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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