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Simplifying 3(x + 4) = 8(x + -6) Reorder the terms: 3(4 + x) = 8(x + -6) (4 * 3 + x * 3) = 8(x + -6) (12 + 3x) = 8(x + -6) Reorder the terms: 12 + 3x = 8(-6 + x) 12 + 3x = (-6 * 8 + x * 8) 12 + 3x = (-48 + 8x) Solving 12 + 3x = -48 + 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. 12 + 3x + -8x = -48 + 8x + -8x Combine like terms: 3x + -8x = -5x 12 + -5x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -5x = -48 + 0 12 + -5x = -48 Add '-12' to each side of the equation. 12 + -12 + -5x = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -48 + -12 -5x = -48 + -12 Combine like terms: -48 + -12 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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