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Simplifying 10 + -4[6(2x + 15) + -1(20 + 10x)] + -2x = 0 Reorder the terms: 10 + -4[6(15 + 2x) + -1(20 + 10x)] + -2x = 0 10 + -4[(15 * 6 + 2x * 6) + -1(20 + 10x)] + -2x = 0 10 + -4[(90 + 12x) + -1(20 + 10x)] + -2x = 0 10 + -4[90 + 12x + (20 * -1 + 10x * -1)] + -2x = 0 10 + -4[90 + 12x + (-20 + -10x)] + -2x = 0 Reorder the terms: 10 + -4[90 + -20 + 12x + -10x] + -2x = 0 Combine like terms: 90 + -20 = 70 10 + -4[70 + 12x + -10x] + -2x = 0 Combine like terms: 12x + -10x = 2x 10 + -4[70 + 2x] + -2x = 0 10 + [70 * -4 + 2x * -4] + -2x = 0 10 + [-280 + -8x] + -2x = 0 Combine like terms: 10 + -280 = -270 -270 + -8x + -2x = 0 Combine like terms: -8x + -2x = -10x -270 + -10x = 0 Solving -270 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '270' to each side of the equation. -270 + 270 + -10x = 0 + 270 Combine like terms: -270 + 270 = 0 0 + -10x = 0 + 270 -10x = 0 + 270 Combine like terms: 0 + 270 = 270 -10x = 270 Divide each side by '-10'. x = -27 Simplifying x = -27
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