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Simplifying -1x + 24 = 3(2x + -8) Reorder the terms: 24 + -1x = 3(2x + -8) Reorder the terms: 24 + -1x = 3(-8 + 2x) 24 + -1x = (-8 * 3 + 2x * 3) 24 + -1x = (-24 + 6x) Solving 24 + -1x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + -1x + -6x = -24 + 6x + -6x Combine like terms: -1x + -6x = -7x 24 + -7x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -7x = -24 + 0 24 + -7x = -24 Add '-24' to each side of the equation. 24 + -24 + -7x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = -24 + -24 -7x = -24 + -24 Combine like terms: -24 + -24 = -48 -7x = -48 Divide each side by '-7'. x = 6.857142857 Simplifying x = 6.857142857
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