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Simplifying 7(x + -5) + 12 = 8(x + -2) + -9 Reorder the terms: 7(-5 + x) + 12 = 8(x + -2) + -9 (-5 * 7 + x * 7) + 12 = 8(x + -2) + -9 (-35 + 7x) + 12 = 8(x + -2) + -9 Reorder the terms: -35 + 12 + 7x = 8(x + -2) + -9 Combine like terms: -35 + 12 = -23 -23 + 7x = 8(x + -2) + -9 Reorder the terms: -23 + 7x = 8(-2 + x) + -9 -23 + 7x = (-2 * 8 + x * 8) + -9 -23 + 7x = (-16 + 8x) + -9 Reorder the terms: -23 + 7x = -16 + -9 + 8x Combine like terms: -16 + -9 = -25 -23 + 7x = -25 + 8x Solving -23 + 7x = -25 + 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. -23 + 7x + -8x = -25 + 8x + -8x Combine like terms: 7x + -8x = -1x -23 + -1x = -25 + 8x + -8x Combine like terms: 8x + -8x = 0 -23 + -1x = -25 + 0 -23 + -1x = -25 Add '23' to each side of the equation. -23 + 23 + -1x = -25 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = -25 + 23 -1x = -25 + 23 Combine like terms: -25 + 23 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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