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Simplifying 7x + -12 = 8(x + -9) Reorder the terms: -12 + 7x = 8(x + -9) Reorder the terms: -12 + 7x = 8(-9 + x) -12 + 7x = (-9 * 8 + x * 8) -12 + 7x = (-72 + 8x) Solving -12 + 7x = -72 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 7x + -8x = -72 + 8x + -8x Combine like terms: 7x + -8x = -1x -12 + -1x = -72 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -1x = -72 + 0 -12 + -1x = -72 Add '12' to each side of the equation. -12 + 12 + -1x = -72 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -72 + 12 -1x = -72 + 12 Combine like terms: -72 + 12 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60
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