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Simplifying 3x + 5(2 + -1x) = 4(3 + -1x) 3x + (2 * 5 + -1x * 5) = 4(3 + -1x) 3x + (10 + -5x) = 4(3 + -1x) Reorder the terms: 10 + 3x + -5x = 4(3 + -1x) Combine like terms: 3x + -5x = -2x 10 + -2x = 4(3 + -1x) 10 + -2x = (3 * 4 + -1x * 4) 10 + -2x = (12 + -4x) Solving 10 + -2x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x 10 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 2x = 12 + 0 10 + 2x = 12 Add '-10' to each side of the equation. 10 + -10 + 2x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 12 + -10 2x = 12 + -10 Combine like terms: 12 + -10 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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