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Simplifying 3(x + 1) = -3(2x + -4) + 9 Reorder the terms: 3(1 + x) = -3(2x + -4) + 9 (1 * 3 + x * 3) = -3(2x + -4) + 9 (3 + 3x) = -3(2x + -4) + 9 Reorder the terms: 3 + 3x = -3(-4 + 2x) + 9 3 + 3x = (-4 * -3 + 2x * -3) + 9 3 + 3x = (12 + -6x) + 9 Reorder the terms: 3 + 3x = 12 + 9 + -6x Combine like terms: 12 + 9 = 21 3 + 3x = 21 + -6x Solving 3 + 3x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + 3x + 6x = 21 + -6x + 6x Combine like terms: 3x + 6x = 9x 3 + 9x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 9x = 21 + 0 3 + 9x = 21 Add '-3' to each side of the equation. 3 + -3 + 9x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 21 + -3 9x = 21 + -3 Combine like terms: 21 + -3 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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