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Simplifying 13 + -5x = 2(x + 5) Reorder the terms: 13 + -5x = 2(5 + x) 13 + -5x = (5 * 2 + x * 2) 13 + -5x = (10 + 2x) Solving 13 + -5x = 10 + 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. 13 + -5x + -2x = 10 + 2x + -2x Combine like terms: -5x + -2x = -7x 13 + -7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -7x = 10 + 0 13 + -7x = 10 Add '-13' to each side of the equation. 13 + -13 + -7x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = 10 + -13 -7x = 10 + -13 Combine like terms: 10 + -13 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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