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Simplifying [3(x + 6) + -10] + -1[5 + -2(x + -8)] = 0 Reorder the terms: [3(6 + x) + -10] + -1[5 + -2(x + -8)] = 0 [(6 * 3 + x * 3) + -10] + -1[5 + -2(x + -8)] = 0 [(18 + 3x) + -10] + -1[5 + -2(x + -8)] = 0 Reorder the terms: [18 + -10 + 3x] + -1[5 + -2(x + -8)] = 0 Combine like terms: 18 + -10 = 8 [8 + 3x] + -1[5 + -2(x + -8)] = 0 Remove brackets around [8 + 3x] 8 + 3x + -1[5 + -2(x + -8)] = 0 Reorder the terms: 8 + 3x + -1[5 + -2(-8 + x)] = 0 8 + 3x + -1[5 + (-8 * -2 + x * -2)] = 0 8 + 3x + -1[5 + (16 + -2x)] = 0 Combine like terms: 5 + 16 = 21 8 + 3x + -1[21 + -2x] = 0 8 + 3x + [21 * -1 + -2x * -1] = 0 8 + 3x + [-21 + 2x] = 0 Reorder the terms: 8 + -21 + 3x + 2x = 0 Combine like terms: 8 + -21 = -13 -13 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x -13 + 5x = 0 Solving -13 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 0 + 13 5x = 0 + 13 Combine like terms: 0 + 13 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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