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Simplifying 3(x + -3) + 3(x + 7) = 6x + -3x Reorder the terms: 3(-3 + x) + 3(x + 7) = 6x + -3x (-3 * 3 + x * 3) + 3(x + 7) = 6x + -3x (-9 + 3x) + 3(x + 7) = 6x + -3x Reorder the terms: -9 + 3x + 3(7 + x) = 6x + -3x -9 + 3x + (7 * 3 + x * 3) = 6x + -3x -9 + 3x + (21 + 3x) = 6x + -3x Reorder the terms: -9 + 21 + 3x + 3x = 6x + -3x Combine like terms: -9 + 21 = 12 12 + 3x + 3x = 6x + -3x Combine like terms: 3x + 3x = 6x 12 + 6x = 6x + -3x Combine like terms: 6x + -3x = 3x 12 + 6x = 3x Solving 12 + 6x = 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. 12 + 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 0 Add '-12' to each side of the equation. 12 + -12 + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 0 + -12 3x = 0 + -12 Combine like terms: 0 + -12 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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