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Simplifying 5(-2x + 3) + (2x + -5) = 4(x + -4) Reorder the terms: 5(3 + -2x) + (2x + -5) = 4(x + -4) (3 * 5 + -2x * 5) + (2x + -5) = 4(x + -4) (15 + -10x) + (2x + -5) = 4(x + -4) Reorder the terms: 15 + -10x + (-5 + 2x) = 4(x + -4) Remove parenthesis around (-5 + 2x) 15 + -10x + -5 + 2x = 4(x + -4) Reorder the terms: 15 + -5 + -10x + 2x = 4(x + -4) Combine like terms: 15 + -5 = 10 10 + -10x + 2x = 4(x + -4) Combine like terms: -10x + 2x = -8x 10 + -8x = 4(x + -4) Reorder the terms: 10 + -8x = 4(-4 + x) 10 + -8x = (-4 * 4 + x * 4) 10 + -8x = (-16 + 4x) Solving 10 + -8x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -8x + -4x = -16 + 4x + -4x Combine like terms: -8x + -4x = -12x 10 + -12x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -12x = -16 + 0 10 + -12x = -16 Add '-10' to each side of the equation. 10 + -10 + -12x = -16 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -16 + -10 -12x = -16 + -10 Combine like terms: -16 + -10 = -26 -12x = -26 Divide each side by '-12'. x = 2.166666667 Simplifying x = 2.166666667
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