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Simplifying 3(x + 3) + -4(2x + 2) = 6 Reorder the terms: 3(3 + x) + -4(2x + 2) = 6 (3 * 3 + x * 3) + -4(2x + 2) = 6 (9 + 3x) + -4(2x + 2) = 6 Reorder the terms: 9 + 3x + -4(2 + 2x) = 6 9 + 3x + (2 * -4 + 2x * -4) = 6 9 + 3x + (-8 + -8x) = 6 Reorder the terms: 9 + -8 + 3x + -8x = 6 Combine like terms: 9 + -8 = 1 1 + 3x + -8x = 6 Combine like terms: 3x + -8x = -5x 1 + -5x = 6 Solving 1 + -5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 6 + -1 -5x = 6 + -1 Combine like terms: 6 + -1 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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