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Simplifying 7(x + -2) = 8(x + 3) Reorder the terms: 7(-2 + x) = 8(x + 3) (-2 * 7 + x * 7) = 8(x + 3) (-14 + 7x) = 8(x + 3) Reorder the terms: -14 + 7x = 8(3 + x) -14 + 7x = (3 * 8 + x * 8) -14 + 7x = (24 + 8x) Solving -14 + 7x = 24 + 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. -14 + 7x + -8x = 24 + 8x + -8x Combine like terms: 7x + -8x = -1x -14 + -1x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -1x = 24 + 0 -14 + -1x = 24 Add '14' to each side of the equation. -14 + 14 + -1x = 24 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 24 + 14 -1x = 24 + 14 Combine like terms: 24 + 14 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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