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Simplifying 4(x + 6) = 9 + -2x Reorder the terms: 4(6 + x) = 9 + -2x (6 * 4 + x * 4) = 9 + -2x (24 + 4x) = 9 + -2x Solving 24 + 4x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + 4x + 2x = 9 + -2x + 2x Combine like terms: 4x + 2x = 6x 24 + 6x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 6x = 9 + 0 24 + 6x = 9 Add '-24' to each side of the equation. 24 + -24 + 6x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 9 + -24 6x = 9 + -24 Combine like terms: 9 + -24 = -15 6x = -15 Divide each side by '6'. x = -2.5 Simplifying x = -2.5
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