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Simplifying 3x + (4 + -1x) = 5(2 + -1x) + 4x Remove parenthesis around (4 + -1x) 3x + 4 + -1x = 5(2 + -1x) + 4x Reorder the terms: 4 + 3x + -1x = 5(2 + -1x) + 4x Combine like terms: 3x + -1x = 2x 4 + 2x = 5(2 + -1x) + 4x 4 + 2x = (2 * 5 + -1x * 5) + 4x 4 + 2x = (10 + -5x) + 4x Combine like terms: -5x + 4x = -1x 4 + 2x = 10 + -1x Solving 4 + 2x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 2x + x = 10 + -1x + x Combine like terms: 2x + x = 3x 4 + 3x = 10 + -1x + x Combine like terms: -1x + x = 0 4 + 3x = 10 + 0 4 + 3x = 10 Add '-4' to each side of the equation. 4 + -4 + 3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 10 + -4 3x = 10 + -4 Combine like terms: 10 + -4 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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