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Simplifying 6 + -3(x + -3) = 3(x + 1) Reorder the terms: 6 + -3(-3 + x) = 3(x + 1) 6 + (-3 * -3 + x * -3) = 3(x + 1) 6 + (9 + -3x) = 3(x + 1) Combine like terms: 6 + 9 = 15 15 + -3x = 3(x + 1) Reorder the terms: 15 + -3x = 3(1 + x) 15 + -3x = (1 * 3 + x * 3) 15 + -3x = (3 + 3x) Solving 15 + -3x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + -3x + -3x = 3 + 3x + -3x Combine like terms: -3x + -3x = -6x 15 + -6x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -6x = 3 + 0 15 + -6x = 3 Add '-15' to each side of the equation. 15 + -15 + -6x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 3 + -15 -6x = 3 + -15 Combine like terms: 3 + -15 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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