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Simplifying 5(2x + 1) + x = 2(x + 5) + -1(3x + 4) Reorder the terms: 5(1 + 2x) + x = 2(x + 5) + -1(3x + 4) (1 * 5 + 2x * 5) + x = 2(x + 5) + -1(3x + 4) (5 + 10x) + x = 2(x + 5) + -1(3x + 4) Combine like terms: 10x + x = 11x 5 + 11x = 2(x + 5) + -1(3x + 4) Reorder the terms: 5 + 11x = 2(5 + x) + -1(3x + 4) 5 + 11x = (5 * 2 + x * 2) + -1(3x + 4) 5 + 11x = (10 + 2x) + -1(3x + 4) Reorder the terms: 5 + 11x = 10 + 2x + -1(4 + 3x) 5 + 11x = 10 + 2x + (4 * -1 + 3x * -1) 5 + 11x = 10 + 2x + (-4 + -3x) Reorder the terms: 5 + 11x = 10 + -4 + 2x + -3x Combine like terms: 10 + -4 = 6 5 + 11x = 6 + 2x + -3x Combine like terms: 2x + -3x = -1x 5 + 11x = 6 + -1x Solving 5 + 11x = 6 + -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. 5 + 11x + x = 6 + -1x + x Combine like terms: 11x + x = 12x 5 + 12x = 6 + -1x + x Combine like terms: -1x + x = 0 5 + 12x = 6 + 0 5 + 12x = 6 Add '-5' to each side of the equation. 5 + -5 + 12x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 6 + -5 12x = 6 + -5 Combine like terms: 6 + -5 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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