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Simplifying 4(5x + -3) + 3(10 + -3x) + -2(5x + 2) = -2 Reorder the terms: 4(-3 + 5x) + 3(10 + -3x) + -2(5x + 2) = -2 (-3 * 4 + 5x * 4) + 3(10 + -3x) + -2(5x + 2) = -2 (-12 + 20x) + 3(10 + -3x) + -2(5x + 2) = -2 -12 + 20x + (10 * 3 + -3x * 3) + -2(5x + 2) = -2 -12 + 20x + (30 + -9x) + -2(5x + 2) = -2 Reorder the terms: -12 + 20x + 30 + -9x + -2(2 + 5x) = -2 -12 + 20x + 30 + -9x + (2 * -2 + 5x * -2) = -2 -12 + 20x + 30 + -9x + (-4 + -10x) = -2 Reorder the terms: -12 + 30 + -4 + 20x + -9x + -10x = -2 Combine like terms: -12 + 30 = 18 18 + -4 + 20x + -9x + -10x = -2 Combine like terms: 18 + -4 = 14 14 + 20x + -9x + -10x = -2 Combine like terms: 20x + -9x = 11x 14 + 11x + -10x = -2 Combine like terms: 11x + -10x = 1x 14 + 1x = -2 Solving 14 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -2 + -14 1x = -2 + -14 Combine like terms: -2 + -14 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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