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Simplifying 3(5x + -4) + 2(15 + -5x) + -2(2x + 4) = -3 Reorder the terms: 3(-4 + 5x) + 2(15 + -5x) + -2(2x + 4) = -3 (-4 * 3 + 5x * 3) + 2(15 + -5x) + -2(2x + 4) = -3 (-12 + 15x) + 2(15 + -5x) + -2(2x + 4) = -3 -12 + 15x + (15 * 2 + -5x * 2) + -2(2x + 4) = -3 -12 + 15x + (30 + -10x) + -2(2x + 4) = -3 Reorder the terms: -12 + 15x + 30 + -10x + -2(4 + 2x) = -3 -12 + 15x + 30 + -10x + (4 * -2 + 2x * -2) = -3 -12 + 15x + 30 + -10x + (-8 + -4x) = -3 Reorder the terms: -12 + 30 + -8 + 15x + -10x + -4x = -3 Combine like terms: -12 + 30 = 18 18 + -8 + 15x + -10x + -4x = -3 Combine like terms: 18 + -8 = 10 10 + 15x + -10x + -4x = -3 Combine like terms: 15x + -10x = 5x 10 + 5x + -4x = -3 Combine like terms: 5x + -4x = 1x 10 + 1x = -3 Solving 10 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -3 + -10 1x = -3 + -10 Combine like terms: -3 + -10 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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