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Simplifying 5 + 7(x + -1) = 12 + 10x Reorder the terms: 5 + 7(-1 + x) = 12 + 10x 5 + (-1 * 7 + x * 7) = 12 + 10x 5 + (-7 + 7x) = 12 + 10x Combine like terms: 5 + -7 = -2 -2 + 7x = 12 + 10x Solving -2 + 7x = 12 + 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. -2 + 7x + -10x = 12 + 10x + -10x Combine like terms: 7x + -10x = -3x -2 + -3x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -3x = 12 + 0 -2 + -3x = 12 Add '2' to each side of the equation. -2 + 2 + -3x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 12 + 2 -3x = 12 + 2 Combine like terms: 12 + 2 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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