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Simplifying 24 + -2x + 6x = -2(-5x + 9) Combine like terms: -2x + 6x = 4x 24 + 4x = -2(-5x + 9) Reorder the terms: 24 + 4x = -2(9 + -5x) 24 + 4x = (9 * -2 + -5x * -2) 24 + 4x = (-18 + 10x) Solving 24 + 4x = -18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 4x + -10x = -18 + 10x + -10x Combine like terms: 4x + -10x = -6x 24 + -6x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -6x = -18 + 0 24 + -6x = -18 Add '-24' to each side of the equation. 24 + -24 + -6x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -18 + -24 -6x = -18 + -24 Combine like terms: -18 + -24 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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