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Simplifying 3(x + 4) = 4(2x + -5) Reorder the terms: 3(4 + x) = 4(2x + -5) (4 * 3 + x * 3) = 4(2x + -5) (12 + 3x) = 4(2x + -5) Reorder the terms: 12 + 3x = 4(-5 + 2x) 12 + 3x = (-5 * 4 + 2x * 4) 12 + 3x = (-20 + 8x) Solving 12 + 3x = -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. 12 + 3x + -8x = -20 + 8x + -8x Combine like terms: 3x + -8x = -5x 12 + -5x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -5x = -20 + 0 12 + -5x = -20 Add '-12' to each side of the equation. 12 + -12 + -5x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -20 + -12 -5x = -20 + -12 Combine like terms: -20 + -12 = -32 -5x = -32 Divide each side by '-5'. x = 6.4 Simplifying x = 6.4
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