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Simplifying 13 = 3 + 5(x + -2) + -2(x + 5) Reorder the terms: 13 = 3 + 5(-2 + x) + -2(x + 5) 13 = 3 + (-2 * 5 + x * 5) + -2(x + 5) 13 = 3 + (-10 + 5x) + -2(x + 5) Reorder the terms: 13 = 3 + -10 + 5x + -2(5 + x) 13 = 3 + -10 + 5x + (5 * -2 + x * -2) 13 = 3 + -10 + 5x + (-10 + -2x) Reorder the terms: 13 = 3 + -10 + -10 + 5x + -2x Combine like terms: 3 + -10 = -7 13 = -7 + -10 + 5x + -2x Combine like terms: -7 + -10 = -17 13 = -17 + 5x + -2x Combine like terms: 5x + -2x = 3x 13 = -17 + 3x Solving 13 = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + -3x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -3x = -17 + 0 13 + -3x = -17 Add '-13' to each side of the equation. 13 + -13 + -3x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -17 + -13 -3x = -17 + -13 Combine like terms: -17 + -13 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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