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Simplifying 3(2x + 6) = 2(4x + -15) Reorder the terms: 3(6 + 2x) = 2(4x + -15) (6 * 3 + 2x * 3) = 2(4x + -15) (18 + 6x) = 2(4x + -15) Reorder the terms: 18 + 6x = 2(-15 + 4x) 18 + 6x = (-15 * 2 + 4x * 2) 18 + 6x = (-30 + 8x) Solving 18 + 6x = -30 + 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 = -30 + 8x + -8x Combine like terms: 6x + -8x = -2x 18 + -2x = -30 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -2x = -30 + 0 18 + -2x = -30 Add '-18' to each side of the equation. 18 + -18 + -2x = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -30 + -18 -2x = -30 + -18 Combine like terms: -30 + -18 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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