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Simplifying 6(2x + 5) = 3(5x + -2) Reorder the terms: 6(5 + 2x) = 3(5x + -2) (5 * 6 + 2x * 6) = 3(5x + -2) (30 + 12x) = 3(5x + -2) Reorder the terms: 30 + 12x = 3(-2 + 5x) 30 + 12x = (-2 * 3 + 5x * 3) 30 + 12x = (-6 + 15x) Solving 30 + 12x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + 12x + -15x = -6 + 15x + -15x Combine like terms: 12x + -15x = -3x 30 + -3x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -3x = -6 + 0 30 + -3x = -6 Add '-30' to each side of the equation. 30 + -30 + -3x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = -6 + -30 -3x = -6 + -30 Combine like terms: -6 + -30 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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