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Simplifying 4(2x + -5) + -2(3 + 5x) = 3(x + -2) Reorder the terms: 4(-5 + 2x) + -2(3 + 5x) = 3(x + -2) (-5 * 4 + 2x * 4) + -2(3 + 5x) = 3(x + -2) (-20 + 8x) + -2(3 + 5x) = 3(x + -2) -20 + 8x + (3 * -2 + 5x * -2) = 3(x + -2) -20 + 8x + (-6 + -10x) = 3(x + -2) Reorder the terms: -20 + -6 + 8x + -10x = 3(x + -2) Combine like terms: -20 + -6 = -26 -26 + 8x + -10x = 3(x + -2) Combine like terms: 8x + -10x = -2x -26 + -2x = 3(x + -2) Reorder the terms: -26 + -2x = 3(-2 + x) -26 + -2x = (-2 * 3 + x * 3) -26 + -2x = (-6 + 3x) Solving -26 + -2x = -6 + 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. -26 + -2x + -3x = -6 + 3x + -3x Combine like terms: -2x + -3x = -5x -26 + -5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + -5x = -6 + 0 -26 + -5x = -6 Add '26' to each side of the equation. -26 + 26 + -5x = -6 + 26 Combine like terms: -26 + 26 = 0 0 + -5x = -6 + 26 -5x = -6 + 26 Combine like terms: -6 + 26 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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