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Simplifying 4(x + 6) = 5x + -2 Reorder the terms: 4(6 + x) = 5x + -2 (6 * 4 + x * 4) = 5x + -2 (24 + 4x) = 5x + -2 Reorder the terms: 24 + 4x = -2 + 5x Solving 24 + 4x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 4x + -5x = -2 + 5x + -5x Combine like terms: 4x + -5x = -1x 24 + -1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -1x = -2 + 0 24 + -1x = -2 Add '-24' to each side of the equation. 24 + -24 + -1x = -2 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -2 + -24 -1x = -2 + -24 Combine like terms: -2 + -24 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26
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