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Simplifying 3(5x + -3) + 2(16 + -2x) + -2(5x + 4) = -4 Reorder the terms: 3(-3 + 5x) + 2(16 + -2x) + -2(5x + 4) = -4 (-3 * 3 + 5x * 3) + 2(16 + -2x) + -2(5x + 4) = -4 (-9 + 15x) + 2(16 + -2x) + -2(5x + 4) = -4 -9 + 15x + (16 * 2 + -2x * 2) + -2(5x + 4) = -4 -9 + 15x + (32 + -4x) + -2(5x + 4) = -4 Reorder the terms: -9 + 15x + 32 + -4x + -2(4 + 5x) = -4 -9 + 15x + 32 + -4x + (4 * -2 + 5x * -2) = -4 -9 + 15x + 32 + -4x + (-8 + -10x) = -4 Reorder the terms: -9 + 32 + -8 + 15x + -4x + -10x = -4 Combine like terms: -9 + 32 = 23 23 + -8 + 15x + -4x + -10x = -4 Combine like terms: 23 + -8 = 15 15 + 15x + -4x + -10x = -4 Combine like terms: 15x + -4x = 11x 15 + 11x + -10x = -4 Combine like terms: 11x + -10x = 1x 15 + 1x = -4 Solving 15 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -4 + -15 1x = -4 + -15 Combine like terms: -4 + -15 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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