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Simplifying -4(2x + -5) + 5(2x + 3) = -2(5x + 3) + -3(x + 3) Reorder the terms: -4(-5 + 2x) + 5(2x + 3) = -2(5x + 3) + -3(x + 3) (-5 * -4 + 2x * -4) + 5(2x + 3) = -2(5x + 3) + -3(x + 3) (20 + -8x) + 5(2x + 3) = -2(5x + 3) + -3(x + 3) Reorder the terms: 20 + -8x + 5(3 + 2x) = -2(5x + 3) + -3(x + 3) 20 + -8x + (3 * 5 + 2x * 5) = -2(5x + 3) + -3(x + 3) 20 + -8x + (15 + 10x) = -2(5x + 3) + -3(x + 3) Reorder the terms: 20 + 15 + -8x + 10x = -2(5x + 3) + -3(x + 3) Combine like terms: 20 + 15 = 35 35 + -8x + 10x = -2(5x + 3) + -3(x + 3) Combine like terms: -8x + 10x = 2x 35 + 2x = -2(5x + 3) + -3(x + 3) Reorder the terms: 35 + 2x = -2(3 + 5x) + -3(x + 3) 35 + 2x = (3 * -2 + 5x * -2) + -3(x + 3) 35 + 2x = (-6 + -10x) + -3(x + 3) Reorder the terms: 35 + 2x = -6 + -10x + -3(3 + x) 35 + 2x = -6 + -10x + (3 * -3 + x * -3) 35 + 2x = -6 + -10x + (-9 + -3x) Reorder the terms: 35 + 2x = -6 + -9 + -10x + -3x Combine like terms: -6 + -9 = -15 35 + 2x = -15 + -10x + -3x Combine like terms: -10x + -3x = -13x 35 + 2x = -15 + -13x Solving 35 + 2x = -15 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 35 + 2x + 13x = -15 + -13x + 13x Combine like terms: 2x + 13x = 15x 35 + 15x = -15 + -13x + 13x Combine like terms: -13x + 13x = 0 35 + 15x = -15 + 0 35 + 15x = -15 Add '-35' to each side of the equation. 35 + -35 + 15x = -15 + -35 Combine like terms: 35 + -35 = 0 0 + 15x = -15 + -35 15x = -15 + -35 Combine like terms: -15 + -35 = -50 15x = -50 Divide each side by '15'. x = -3.333333333 Simplifying x = -3.333333333
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