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Simplifying 24 + 2x = 4(-1x + 7) + -52 Reorder the terms: 24 + 2x = 4(7 + -1x) + -52 24 + 2x = (7 * 4 + -1x * 4) + -52 24 + 2x = (28 + -4x) + -52 Reorder the terms: 24 + 2x = 28 + -52 + -4x Combine like terms: 28 + -52 = -24 24 + 2x = -24 + -4x Solving 24 + 2x = -24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 2x + 4x = -24 + -4x + 4x Combine like terms: 2x + 4x = 6x 24 + 6x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 6x = -24 + 0 24 + 6x = -24 Add '-24' to each side of the equation. 24 + -24 + 6x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = -24 + -24 6x = -24 + -24 Combine like terms: -24 + -24 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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