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Simplifying 3(2x + 5) = 2(5x + -1) + 30 Reorder the terms: 3(5 + 2x) = 2(5x + -1) + 30 (5 * 3 + 2x * 3) = 2(5x + -1) + 30 (15 + 6x) = 2(5x + -1) + 30 Reorder the terms: 15 + 6x = 2(-1 + 5x) + 30 15 + 6x = (-1 * 2 + 5x * 2) + 30 15 + 6x = (-2 + 10x) + 30 Reorder the terms: 15 + 6x = -2 + 30 + 10x Combine like terms: -2 + 30 = 28 15 + 6x = 28 + 10x Solving 15 + 6x = 28 + 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. 15 + 6x + -10x = 28 + 10x + -10x Combine like terms: 6x + -10x = -4x 15 + -4x = 28 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -4x = 28 + 0 15 + -4x = 28 Add '-15' to each side of the equation. 15 + -15 + -4x = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 28 + -15 -4x = 28 + -15 Combine like terms: 28 + -15 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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