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Simplifying 10 + -4[6(2x + 5) + -1(20 + 10x)] + -2x = 0 Reorder the terms: 10 + -4[6(5 + 2x) + -1(20 + 10x)] + -2x = 0 10 + -4[(5 * 6 + 2x * 6) + -1(20 + 10x)] + -2x = 0 10 + -4[(30 + 12x) + -1(20 + 10x)] + -2x = 0 10 + -4[30 + 12x + (20 * -1 + 10x * -1)] + -2x = 0 10 + -4[30 + 12x + (-20 + -10x)] + -2x = 0 Reorder the terms: 10 + -4[30 + -20 + 12x + -10x] + -2x = 0 Combine like terms: 30 + -20 = 10 10 + -4[10 + 12x + -10x] + -2x = 0 Combine like terms: 12x + -10x = 2x 10 + -4[10 + 2x] + -2x = 0 10 + [10 * -4 + 2x * -4] + -2x = 0 10 + [-40 + -8x] + -2x = 0 Combine like terms: 10 + -40 = -30 -30 + -8x + -2x = 0 Combine like terms: -8x + -2x = -10x -30 + -10x = 0 Solving -30 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -10x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -10x = 0 + 30 -10x = 0 + 30 Combine like terms: 0 + 30 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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