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Simplifying -3(x + -6) = 4(2x + 3) Reorder the terms: -3(-6 + x) = 4(2x + 3) (-6 * -3 + x * -3) = 4(2x + 3) (18 + -3x) = 4(2x + 3) Reorder the terms: 18 + -3x = 4(3 + 2x) 18 + -3x = (3 * 4 + 2x * 4) 18 + -3x = (12 + 8x) Solving 18 + -3x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + -3x + -8x = 12 + 8x + -8x Combine like terms: -3x + -8x = -11x 18 + -11x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -11x = 12 + 0 18 + -11x = 12 Add '-18' to each side of the equation. 18 + -18 + -11x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 12 + -18 -11x = 12 + -18 Combine like terms: 12 + -18 = -6 -11x = -6 Divide each side by '-11'. x = 0.5454545455 Simplifying x = 0.5454545455
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