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Simplifying 7(x + -1) = 5(2x + 3) + -12 Reorder the terms: 7(-1 + x) = 5(2x + 3) + -12 (-1 * 7 + x * 7) = 5(2x + 3) + -12 (-7 + 7x) = 5(2x + 3) + -12 Reorder the terms: -7 + 7x = 5(3 + 2x) + -12 -7 + 7x = (3 * 5 + 2x * 5) + -12 -7 + 7x = (15 + 10x) + -12 Reorder the terms: -7 + 7x = 15 + -12 + 10x Combine like terms: 15 + -12 = 3 -7 + 7x = 3 + 10x Solving -7 + 7x = 3 + 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. -7 + 7x + -10x = 3 + 10x + -10x Combine like terms: 7x + -10x = -3x -7 + -3x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -3x = 3 + 0 -7 + -3x = 3 Add '7' to each side of the equation. -7 + 7 + -3x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 3 + 7 -3x = 3 + 7 Combine like terms: 3 + 7 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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