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Simplifying 10[4 + -1(x + -5)] + -1(6x + -12) = 0 Reorder the terms: 10[4 + -1(-5 + x)] + -1(6x + -12) = 0 10[4 + (-5 * -1 + x * -1)] + -1(6x + -12) = 0 10[4 + (5 + -1x)] + -1(6x + -12) = 0 Combine like terms: 4 + 5 = 9 10[9 + -1x] + -1(6x + -12) = 0 [9 * 10 + -1x * 10] + -1(6x + -12) = 0 [90 + -10x] + -1(6x + -12) = 0 Reorder the terms: 90 + -10x + -1(-12 + 6x) = 0 90 + -10x + (-12 * -1 + 6x * -1) = 0 90 + -10x + (12 + -6x) = 0 Reorder the terms: 90 + 12 + -10x + -6x = 0 Combine like terms: 90 + 12 = 102 102 + -10x + -6x = 0 Combine like terms: -10x + -6x = -16x 102 + -16x = 0 Solving 102 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -16x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -16x = 0 + -102 -16x = 0 + -102 Combine like terms: 0 + -102 = -102 -16x = -102 Divide each side by '-16'. x = 6.375 Simplifying x = 6.375
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