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Simplifying 5(2x + -5) + -3(4x + -7) = 3(x + -8) Reorder the terms: 5(-5 + 2x) + -3(4x + -7) = 3(x + -8) (-5 * 5 + 2x * 5) + -3(4x + -7) = 3(x + -8) (-25 + 10x) + -3(4x + -7) = 3(x + -8) Reorder the terms: -25 + 10x + -3(-7 + 4x) = 3(x + -8) -25 + 10x + (-7 * -3 + 4x * -3) = 3(x + -8) -25 + 10x + (21 + -12x) = 3(x + -8) Reorder the terms: -25 + 21 + 10x + -12x = 3(x + -8) Combine like terms: -25 + 21 = -4 -4 + 10x + -12x = 3(x + -8) Combine like terms: 10x + -12x = -2x -4 + -2x = 3(x + -8) Reorder the terms: -4 + -2x = 3(-8 + x) -4 + -2x = (-8 * 3 + x * 3) -4 + -2x = (-24 + 3x) Solving -4 + -2x = -24 + 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 = -24 + 3x + -3x Combine like terms: -2x + -3x = -5x -4 + -5x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -5x = -24 + 0 -4 + -5x = -24 Add '4' to each side of the equation. -4 + 4 + -5x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -24 + 4 -5x = -24 + 4 Combine like terms: -24 + 4 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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