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Simplifying 3x + -4(x + -2) = 5(2x + 1) Reorder the terms: 3x + -4(-2 + x) = 5(2x + 1) 3x + (-2 * -4 + x * -4) = 5(2x + 1) 3x + (8 + -4x) = 5(2x + 1) Reorder the terms: 8 + 3x + -4x = 5(2x + 1) Combine like terms: 3x + -4x = -1x 8 + -1x = 5(2x + 1) Reorder the terms: 8 + -1x = 5(1 + 2x) 8 + -1x = (1 * 5 + 2x * 5) 8 + -1x = (5 + 10x) Solving 8 + -1x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + -1x + -10x = 5 + 10x + -10x Combine like terms: -1x + -10x = -11x 8 + -11x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -11x = 5 + 0 8 + -11x = 5 Add '-8' to each side of the equation. 8 + -8 + -11x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 5 + -8 -11x = 5 + -8 Combine like terms: 5 + -8 = -3 -11x = -3 Divide each side by '-11'. x = 0.2727272727 Simplifying x = 0.2727272727
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