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Simplifying 6 + -3(2x + -3) = 5(6 + -1x) Reorder the terms: 6 + -3(-3 + 2x) = 5(6 + -1x) 6 + (-3 * -3 + 2x * -3) = 5(6 + -1x) 6 + (9 + -6x) = 5(6 + -1x) Combine like terms: 6 + 9 = 15 15 + -6x = 5(6 + -1x) 15 + -6x = (6 * 5 + -1x * 5) 15 + -6x = (30 + -5x) Solving 15 + -6x = 30 + -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 + -6x + 5x = 30 + -5x + 5x Combine like terms: -6x + 5x = -1x 15 + -1x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + -1x = 30 + 0 15 + -1x = 30 Add '-15' to each side of the equation. 15 + -15 + -1x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 30 + -15 -1x = 30 + -15 Combine like terms: 30 + -15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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