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Simplifying 8 + -5(x + 2) = 2(x + 13) Reorder the terms: 8 + -5(2 + x) = 2(x + 13) 8 + (2 * -5 + x * -5) = 2(x + 13) 8 + (-10 + -5x) = 2(x + 13) Combine like terms: 8 + -10 = -2 -2 + -5x = 2(x + 13) Reorder the terms: -2 + -5x = 2(13 + x) -2 + -5x = (13 * 2 + x * 2) -2 + -5x = (26 + 2x) Solving -2 + -5x = 26 + 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. -2 + -5x + -2x = 26 + 2x + -2x Combine like terms: -5x + -2x = -7x -2 + -7x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -7x = 26 + 0 -2 + -7x = 26 Add '2' to each side of the equation. -2 + 2 + -7x = 26 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 26 + 2 -7x = 26 + 2 Combine like terms: 26 + 2 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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