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Simplifying 5(x + 2) + -3(2x + -1) = 7x + 13 + -2x Reorder the terms: 5(2 + x) + -3(2x + -1) = 7x + 13 + -2x (2 * 5 + x * 5) + -3(2x + -1) = 7x + 13 + -2x (10 + 5x) + -3(2x + -1) = 7x + 13 + -2x Reorder the terms: 10 + 5x + -3(-1 + 2x) = 7x + 13 + -2x 10 + 5x + (-1 * -3 + 2x * -3) = 7x + 13 + -2x 10 + 5x + (3 + -6x) = 7x + 13 + -2x Reorder the terms: 10 + 3 + 5x + -6x = 7x + 13 + -2x Combine like terms: 10 + 3 = 13 13 + 5x + -6x = 7x + 13 + -2x Combine like terms: 5x + -6x = -1x 13 + -1x = 7x + 13 + -2x Reorder the terms: 13 + -1x = 13 + 7x + -2x Combine like terms: 7x + -2x = 5x 13 + -1x = 13 + 5x Add '-13' to each side of the equation. 13 + -13 + -1x = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 0 + -1x = 13 + -13 + 5x -1x = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 -1x = 0 + 5x -1x = 5x Solving -1x = 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. -1x + -5x = 5x + -5x Combine like terms: -1x + -5x = -6x -6x = 5x + -5x Combine like terms: 5x + -5x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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