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Simplifying 6x + -1(12 + -1x) = 10(x + 6) + -7 6x + (12 * -1 + -1x * -1) = 10(x + 6) + -7 6x + (-12 + 1x) = 10(x + 6) + -7 Reorder the terms: -12 + 6x + 1x = 10(x + 6) + -7 Combine like terms: 6x + 1x = 7x -12 + 7x = 10(x + 6) + -7 Reorder the terms: -12 + 7x = 10(6 + x) + -7 -12 + 7x = (6 * 10 + x * 10) + -7 -12 + 7x = (60 + 10x) + -7 Reorder the terms: -12 + 7x = 60 + -7 + 10x Combine like terms: 60 + -7 = 53 -12 + 7x = 53 + 10x Solving -12 + 7x = 53 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 7x + -10x = 53 + 10x + -10x Combine like terms: 7x + -10x = -3x -12 + -3x = 53 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -3x = 53 + 0 -12 + -3x = 53 Add '12' to each side of the equation. -12 + 12 + -3x = 53 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 53 + 12 -3x = 53 + 12 Combine like terms: 53 + 12 = 65 -3x = 65 Divide each side by '-3'. x = -21.66666667 Simplifying x = -21.66666667
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