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Simplifying 3(2x + 5) = 6(5x + -7) Reorder the terms: 3(5 + 2x) = 6(5x + -7) (5 * 3 + 2x * 3) = 6(5x + -7) (15 + 6x) = 6(5x + -7) Reorder the terms: 15 + 6x = 6(-7 + 5x) 15 + 6x = (-7 * 6 + 5x * 6) 15 + 6x = (-42 + 30x) Solving 15 + 6x = -42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 15 + 6x + -30x = -42 + 30x + -30x Combine like terms: 6x + -30x = -24x 15 + -24x = -42 + 30x + -30x Combine like terms: 30x + -30x = 0 15 + -24x = -42 + 0 15 + -24x = -42 Add '-15' to each side of the equation. 15 + -15 + -24x = -42 + -15 Combine like terms: 15 + -15 = 0 0 + -24x = -42 + -15 -24x = -42 + -15 Combine like terms: -42 + -15 = -57 -24x = -57 Divide each side by '-24'. x = 2.375 Simplifying x = 2.375
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