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Simplifying 3(6 + -2x) = 4(2x + -3) + -8 (6 * 3 + -2x * 3) = 4(2x + -3) + -8 (18 + -6x) = 4(2x + -3) + -8 Reorder the terms: 18 + -6x = 4(-3 + 2x) + -8 18 + -6x = (-3 * 4 + 2x * 4) + -8 18 + -6x = (-12 + 8x) + -8 Reorder the terms: 18 + -6x = -12 + -8 + 8x Combine like terms: -12 + -8 = -20 18 + -6x = -20 + 8x Solving 18 + -6x = -20 + 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 + -6x + -8x = -20 + 8x + -8x Combine like terms: -6x + -8x = -14x 18 + -14x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -14x = -20 + 0 18 + -14x = -20 Add '-18' to each side of the equation. 18 + -18 + -14x = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = -20 + -18 -14x = -20 + -18 Combine like terms: -20 + -18 = -38 -14x = -38 Divide each side by '-14'. x = 2.714285714 Simplifying x = 2.714285714
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