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Simplifying 4(x + -45) = 24x Reorder the terms: 4(-45 + x) = 24x (-45 * 4 + x * 4) = 24x (-180 + 4x) = 24x Solving -180 + 4x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -180 + 4x + -24x = 24x + -24x Combine like terms: 4x + -24x = -20x -180 + -20x = 24x + -24x Combine like terms: 24x + -24x = 0 -180 + -20x = 0 Add '180' to each side of the equation. -180 + 180 + -20x = 0 + 180 Combine like terms: -180 + 180 = 0 0 + -20x = 0 + 180 -20x = 0 + 180 Combine like terms: 0 + 180 = 180 -20x = 180 Divide each side by '-20'. x = -9 Simplifying x = -9
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