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Simplifying 3(2x + 4) = 8(3x + -6) Reorder the terms: 3(4 + 2x) = 8(3x + -6) (4 * 3 + 2x * 3) = 8(3x + -6) (12 + 6x) = 8(3x + -6) Reorder the terms: 12 + 6x = 8(-6 + 3x) 12 + 6x = (-6 * 8 + 3x * 8) 12 + 6x = (-48 + 24x) Solving 12 + 6x = -48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12 + 6x + -24x = -48 + 24x + -24x Combine like terms: 6x + -24x = -18x 12 + -18x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + -18x = -48 + 0 12 + -18x = -48 Add '-12' to each side of the equation. 12 + -12 + -18x = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = -48 + -12 -18x = -48 + -12 Combine like terms: -48 + -12 = -60 -18x = -60 Divide each side by '-18'. x = 3.333333333 Simplifying x = 3.333333333
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