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Simplifying 13 = 3 + 5(x + -2 + -2x + 5) Reorder the terms: 13 = 3 + 5(-2 + 5 + x + -2x) Combine like terms: -2 + 5 = 3 13 = 3 + 5(3 + x + -2x) Combine like terms: x + -2x = -1x 13 = 3 + 5(3 + -1x) 13 = 3 + (3 * 5 + -1x * 5) 13 = 3 + (15 + -5x) Combine like terms: 3 + 15 = 18 13 = 18 + -5x Solving 13 = 18 + -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. 13 + 5x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 5x = 18 + 0 13 + 5x = 18 Add '-13' to each side of the equation. 13 + -13 + 5x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 18 + -13 5x = 18 + -13 Combine like terms: 18 + -13 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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