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Simplifying 4(x + -35) = 24x Reorder the terms: 4(-35 + x) = 24x (-35 * 4 + x * 4) = 24x (-140 + 4x) = 24x Solving -140 + 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. -140 + 4x + -24x = 24x + -24x Combine like terms: 4x + -24x = -20x -140 + -20x = 24x + -24x Combine like terms: 24x + -24x = 0 -140 + -20x = 0 Add '140' to each side of the equation. -140 + 140 + -20x = 0 + 140 Combine like terms: -140 + 140 = 0 0 + -20x = 0 + 140 -20x = 0 + 140 Combine like terms: 0 + 140 = 140 -20x = 140 Divide each side by '-20'. x = -7 Simplifying x = -7
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