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Simplifying 9 + 2(3x + -3) = -4(2x + -3) + 8x Reorder the terms: 9 + 2(-3 + 3x) = -4(2x + -3) + 8x 9 + (-3 * 2 + 3x * 2) = -4(2x + -3) + 8x 9 + (-6 + 6x) = -4(2x + -3) + 8x Combine like terms: 9 + -6 = 3 3 + 6x = -4(2x + -3) + 8x Reorder the terms: 3 + 6x = -4(-3 + 2x) + 8x 3 + 6x = (-3 * -4 + 2x * -4) + 8x 3 + 6x = (12 + -8x) + 8x Combine like terms: -8x + 8x = 0 3 + 6x = 12 + 0 3 + 6x = 12 Solving 3 + 6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 12 + -3 6x = 12 + -3 Combine like terms: 12 + -3 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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