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Simplifying 4(2x + -1) = 9(x + 2) Reorder the terms: 4(-1 + 2x) = 9(x + 2) (-1 * 4 + 2x * 4) = 9(x + 2) (-4 + 8x) = 9(x + 2) Reorder the terms: -4 + 8x = 9(2 + x) -4 + 8x = (2 * 9 + x * 9) -4 + 8x = (18 + 9x) Solving -4 + 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. -4 + 8x + -9x = 18 + 9x + -9x Combine like terms: 8x + -9x = -1x -4 + -1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -1x = 18 + 0 -4 + -1x = 18 Add '4' to each side of the equation. -4 + 4 + -1x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 18 + 4 -1x = 18 + 4 Combine like terms: 18 + 4 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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