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Simplifying -7(x + 1) + -5 = 2(x + 1) + -5 Reorder the terms: -7(1 + x) + -5 = 2(x + 1) + -5 (1 * -7 + x * -7) + -5 = 2(x + 1) + -5 (-7 + -7x) + -5 = 2(x + 1) + -5 Reorder the terms: -7 + -5 + -7x = 2(x + 1) + -5 Combine like terms: -7 + -5 = -12 -12 + -7x = 2(x + 1) + -5 Reorder the terms: -12 + -7x = 2(1 + x) + -5 -12 + -7x = (1 * 2 + x * 2) + -5 -12 + -7x = (2 + 2x) + -5 Reorder the terms: -12 + -7x = 2 + -5 + 2x Combine like terms: 2 + -5 = -3 -12 + -7x = -3 + 2x Solving -12 + -7x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -7x + -2x = -3 + 2x + -2x Combine like terms: -7x + -2x = -9x -12 + -9x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -9x = -3 + 0 -12 + -9x = -3 Add '12' to each side of the equation. -12 + 12 + -9x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = -3 + 12 -9x = -3 + 12 Combine like terms: -3 + 12 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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