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Simplifying 5(2x + 3) = 4(6x + 2) Reorder the terms: 5(3 + 2x) = 4(6x + 2) (3 * 5 + 2x * 5) = 4(6x + 2) (15 + 10x) = 4(6x + 2) Reorder the terms: 15 + 10x = 4(2 + 6x) 15 + 10x = (2 * 4 + 6x * 4) 15 + 10x = (8 + 24x) Solving 15 + 10x = 8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 15 + 10x + -24x = 8 + 24x + -24x Combine like terms: 10x + -24x = -14x 15 + -14x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 15 + -14x = 8 + 0 15 + -14x = 8 Add '-15' to each side of the equation. 15 + -15 + -14x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 8 + -15 -14x = 8 + -15 Combine like terms: 8 + -15 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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