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Simplifying 4(2x + -3) = 9(x + -2) Reorder the terms: 4(-3 + 2x) = 9(x + -2) (-3 * 4 + 2x * 4) = 9(x + -2) (-12 + 8x) = 9(x + -2) Reorder the terms: -12 + 8x = 9(-2 + x) -12 + 8x = (-2 * 9 + x * 9) -12 + 8x = (-18 + 9x) Solving -12 + 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. -12 + 8x + -9x = -18 + 9x + -9x Combine like terms: 8x + -9x = -1x -12 + -1x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -1x = -18 + 0 -12 + -1x = -18 Add '12' to each side of the equation. -12 + 12 + -1x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -18 + 12 -1x = -18 + 12 Combine like terms: -18 + 12 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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