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Simplifying 1 + 3x = 2(x + 5) + -3(5 + -1x) Reorder the terms: 1 + 3x = 2(5 + x) + -3(5 + -1x) 1 + 3x = (5 * 2 + x * 2) + -3(5 + -1x) 1 + 3x = (10 + 2x) + -3(5 + -1x) 1 + 3x = 10 + 2x + (5 * -3 + -1x * -3) 1 + 3x = 10 + 2x + (-15 + 3x) Reorder the terms: 1 + 3x = 10 + -15 + 2x + 3x Combine like terms: 10 + -15 = -5 1 + 3x = -5 + 2x + 3x Combine like terms: 2x + 3x = 5x 1 + 3x = -5 + 5x Solving 1 + 3x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = -5 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = -5 + 0 1 + -2x = -5 Add '-1' to each side of the equation. 1 + -1 + -2x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -5 + -1 -2x = -5 + -1 Combine like terms: -5 + -1 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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