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Simplifying 5(3x + -3) + 2(15 + -5x) + -2(2x + 4) = -7 Reorder the terms: 5(-3 + 3x) + 2(15 + -5x) + -2(2x + 4) = -7 (-3 * 5 + 3x * 5) + 2(15 + -5x) + -2(2x + 4) = -7 (-15 + 15x) + 2(15 + -5x) + -2(2x + 4) = -7 -15 + 15x + (15 * 2 + -5x * 2) + -2(2x + 4) = -7 -15 + 15x + (30 + -10x) + -2(2x + 4) = -7 Reorder the terms: -15 + 15x + 30 + -10x + -2(4 + 2x) = -7 -15 + 15x + 30 + -10x + (4 * -2 + 2x * -2) = -7 -15 + 15x + 30 + -10x + (-8 + -4x) = -7 Reorder the terms: -15 + 30 + -8 + 15x + -10x + -4x = -7 Combine like terms: -15 + 30 = 15 15 + -8 + 15x + -10x + -4x = -7 Combine like terms: 15 + -8 = 7 7 + 15x + -10x + -4x = -7 Combine like terms: 15x + -10x = 5x 7 + 5x + -4x = -7 Combine like terms: 5x + -4x = 1x 7 + 1x = -7 Solving 7 + 1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -7 + -7 1x = -7 + -7 Combine like terms: -7 + -7 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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