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Simplifying 5(3x + -26) = 2(x + 13) Reorder the terms: 5(-26 + 3x) = 2(x + 13) (-26 * 5 + 3x * 5) = 2(x + 13) (-130 + 15x) = 2(x + 13) Reorder the terms: -130 + 15x = 2(13 + x) -130 + 15x = (13 * 2 + x * 2) -130 + 15x = (26 + 2x) Solving -130 + 15x = 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. -130 + 15x + -2x = 26 + 2x + -2x Combine like terms: 15x + -2x = 13x -130 + 13x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -130 + 13x = 26 + 0 -130 + 13x = 26 Add '130' to each side of the equation. -130 + 130 + 13x = 26 + 130 Combine like terms: -130 + 130 = 0 0 + 13x = 26 + 130 13x = 26 + 130 Combine like terms: 26 + 130 = 156 13x = 156 Divide each side by '13'. x = 12 Simplifying x = 12
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