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Simplifying 7(x + -2) + 10 = 8(x + 1) Reorder the terms: 7(-2 + x) + 10 = 8(x + 1) (-2 * 7 + x * 7) + 10 = 8(x + 1) (-14 + 7x) + 10 = 8(x + 1) Reorder the terms: -14 + 10 + 7x = 8(x + 1) Combine like terms: -14 + 10 = -4 -4 + 7x = 8(x + 1) Reorder the terms: -4 + 7x = 8(1 + x) -4 + 7x = (1 * 8 + x * 8) -4 + 7x = (8 + 8x) Solving -4 + 7x = 8 + 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. -4 + 7x + -8x = 8 + 8x + -8x Combine like terms: 7x + -8x = -1x -4 + -1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -1x = 8 + 0 -4 + -1x = 8 Add '4' to each side of the equation. -4 + 4 + -1x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 8 + 4 -1x = 8 + 4 Combine like terms: 8 + 4 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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