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Simplifying 6x + -3(2x + -5) = 12 + 5x Reorder the terms: 6x + -3(-5 + 2x) = 12 + 5x 6x + (-5 * -3 + 2x * -3) = 12 + 5x 6x + (15 + -6x) = 12 + 5x Reorder the terms: 15 + 6x + -6x = 12 + 5x Combine like terms: 6x + -6x = 0 15 + 0 = 12 + 5x 15 = 12 + 5x Solving 15 = 12 + 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. 15 + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -5x = 12 + 0 15 + -5x = 12 Add '-15' to each side of the equation. 15 + -15 + -5x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 12 + -15 -5x = 12 + -15 Combine like terms: 12 + -15 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6
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