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Simplifying 5(x + 3) + -2(x + 1) = 26 Reorder the terms: 5(3 + x) + -2(x + 1) = 26 (3 * 5 + x * 5) + -2(x + 1) = 26 (15 + 5x) + -2(x + 1) = 26 Reorder the terms: 15 + 5x + -2(1 + x) = 26 15 + 5x + (1 * -2 + x * -2) = 26 15 + 5x + (-2 + -2x) = 26 Reorder the terms: 15 + -2 + 5x + -2x = 26 Combine like terms: 15 + -2 = 13 13 + 5x + -2x = 26 Combine like terms: 5x + -2x = 3x 13 + 3x = 26 Solving 13 + 3x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 26 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 26 + -13 3x = 26 + -13 Combine like terms: 26 + -13 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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