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Simplifying 8(x + -2) = 9(x + 3) Reorder the terms: 8(-2 + x) = 9(x + 3) (-2 * 8 + x * 8) = 9(x + 3) (-16 + 8x) = 9(x + 3) Reorder the terms: -16 + 8x = 9(3 + x) -16 + 8x = (3 * 9 + x * 9) -16 + 8x = (27 + 9x) Solving -16 + 8x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 8x + -9x = 27 + 9x + -9x Combine like terms: 8x + -9x = -1x -16 + -1x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -1x = 27 + 0 -16 + -1x = 27 Add '16' to each side of the equation. -16 + 16 + -1x = 27 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 27 + 16 -1x = 27 + 16 Combine like terms: 27 + 16 = 43 -1x = 43 Divide each side by '-1'. x = -43 Simplifying x = -43
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