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Simplifying 5 + -4(2x + -3) = 3(4 + -1x) Reorder the terms: 5 + -4(-3 + 2x) = 3(4 + -1x) 5 + (-3 * -4 + 2x * -4) = 3(4 + -1x) 5 + (12 + -8x) = 3(4 + -1x) Combine like terms: 5 + 12 = 17 17 + -8x = 3(4 + -1x) 17 + -8x = (4 * 3 + -1x * 3) 17 + -8x = (12 + -3x) Solving 17 + -8x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 17 + -8x + 3x = 12 + -3x + 3x Combine like terms: -8x + 3x = -5x 17 + -5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + -5x = 12 + 0 17 + -5x = 12 Add '-17' to each side of the equation. 17 + -17 + -5x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 12 + -17 -5x = 12 + -17 Combine like terms: 12 + -17 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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