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Simplifying 7(-1x + -1) + 8 = 5(7 + -1x) + 12 Reorder the terms: 7(-1 + -1x) + 8 = 5(7 + -1x) + 12 (-1 * 7 + -1x * 7) + 8 = 5(7 + -1x) + 12 (-7 + -7x) + 8 = 5(7 + -1x) + 12 Reorder the terms: -7 + 8 + -7x = 5(7 + -1x) + 12 Combine like terms: -7 + 8 = 1 1 + -7x = 5(7 + -1x) + 12 1 + -7x = (7 * 5 + -1x * 5) + 12 1 + -7x = (35 + -5x) + 12 Reorder the terms: 1 + -7x = 35 + 12 + -5x Combine like terms: 35 + 12 = 47 1 + -7x = 47 + -5x Solving 1 + -7x = 47 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + -7x + 5x = 47 + -5x + 5x Combine like terms: -7x + 5x = -2x 1 + -2x = 47 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + -2x = 47 + 0 1 + -2x = 47 Add '-1' to each side of the equation. 1 + -1 + -2x = 47 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 47 + -1 -2x = 47 + -1 Combine like terms: 47 + -1 = 46 -2x = 46 Divide each side by '-2'. x = -23 Simplifying x = -23
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