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Simplifying 10(6 + -1x) + 7 = -7(x + -2) + -3 (6 * 10 + -1x * 10) + 7 = -7(x + -2) + -3 (60 + -10x) + 7 = -7(x + -2) + -3 Reorder the terms: 60 + 7 + -10x = -7(x + -2) + -3 Combine like terms: 60 + 7 = 67 67 + -10x = -7(x + -2) + -3 Reorder the terms: 67 + -10x = -7(-2 + x) + -3 67 + -10x = (-2 * -7 + x * -7) + -3 67 + -10x = (14 + -7x) + -3 Reorder the terms: 67 + -10x = 14 + -3 + -7x Combine like terms: 14 + -3 = 11 67 + -10x = 11 + -7x Solving 67 + -10x = 11 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 67 + -10x + 7x = 11 + -7x + 7x Combine like terms: -10x + 7x = -3x 67 + -3x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 67 + -3x = 11 + 0 67 + -3x = 11 Add '-67' to each side of the equation. 67 + -67 + -3x = 11 + -67 Combine like terms: 67 + -67 = 0 0 + -3x = 11 + -67 -3x = 11 + -67 Combine like terms: 11 + -67 = -56 -3x = -56 Divide each side by '-3'. x = 18.66666667 Simplifying x = 18.66666667
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