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Simplifying 13(4 + -2x) + -2(1 + x) = 8 + 5x (4 * 13 + -2x * 13) + -2(1 + x) = 8 + 5x (52 + -26x) + -2(1 + x) = 8 + 5x 52 + -26x + (1 * -2 + x * -2) = 8 + 5x 52 + -26x + (-2 + -2x) = 8 + 5x Reorder the terms: 52 + -2 + -26x + -2x = 8 + 5x Combine like terms: 52 + -2 = 50 50 + -26x + -2x = 8 + 5x Combine like terms: -26x + -2x = -28x 50 + -28x = 8 + 5x Solving 50 + -28x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 50 + -28x + -5x = 8 + 5x + -5x Combine like terms: -28x + -5x = -33x 50 + -33x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 50 + -33x = 8 + 0 50 + -33x = 8 Add '-50' to each side of the equation. 50 + -50 + -33x = 8 + -50 Combine like terms: 50 + -50 = 0 0 + -33x = 8 + -50 -33x = 8 + -50 Combine like terms: 8 + -50 = -42 -33x = -42 Divide each side by '-33'. x = 1.272727273 Simplifying x = 1.272727273
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