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Simplifying x + 5(2x + -1) = 14 + -2(x + 3) Reorder the terms: x + 5(-1 + 2x) = 14 + -2(x + 3) x + (-1 * 5 + 2x * 5) = 14 + -2(x + 3) x + (-5 + 10x) = 14 + -2(x + 3) Reorder the terms: -5 + x + 10x = 14 + -2(x + 3) Combine like terms: x + 10x = 11x -5 + 11x = 14 + -2(x + 3) Reorder the terms: -5 + 11x = 14 + -2(3 + x) -5 + 11x = 14 + (3 * -2 + x * -2) -5 + 11x = 14 + (-6 + -2x) Combine like terms: 14 + -6 = 8 -5 + 11x = 8 + -2x Solving -5 + 11x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 11x + 2x = 8 + -2x + 2x Combine like terms: 11x + 2x = 13x -5 + 13x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 13x = 8 + 0 -5 + 13x = 8 Add '5' to each side of the equation. -5 + 5 + 13x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 8 + 5 13x = 8 + 5 Combine like terms: 8 + 5 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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