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Simplifying 2(4x + -5) = 9(x + -2) Reorder the terms: 2(-5 + 4x) = 9(x + -2) (-5 * 2 + 4x * 2) = 9(x + -2) (-10 + 8x) = 9(x + -2) Reorder the terms: -10 + 8x = 9(-2 + x) -10 + 8x = (-2 * 9 + x * 9) -10 + 8x = (-18 + 9x) Solving -10 + 8x = -18 + 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. -10 + 8x + -9x = -18 + 9x + -9x Combine like terms: 8x + -9x = -1x -10 + -1x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -1x = -18 + 0 -10 + -1x = -18 Add '10' to each side of the equation. -10 + 10 + -1x = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -18 + 10 -1x = -18 + 10 Combine like terms: -18 + 10 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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