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Simplifying 6(2 + x) = 5(3x + -3) (2 * 6 + x * 6) = 5(3x + -3) (12 + 6x) = 5(3x + -3) Reorder the terms: 12 + 6x = 5(-3 + 3x) 12 + 6x = (-3 * 5 + 3x * 5) 12 + 6x = (-15 + 15x) Solving 12 + 6x = -15 + 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. 12 + 6x + -15x = -15 + 15x + -15x Combine like terms: 6x + -15x = -9x 12 + -9x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -9x = -15 + 0 12 + -9x = -15 Add '-12' to each side of the equation. 12 + -12 + -9x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -15 + -12 -9x = -15 + -12 Combine like terms: -15 + -12 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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