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Simplifying 5x + 2(x + -2) = 13 + -3(x + -1) Reorder the terms: 5x + 2(-2 + x) = 13 + -3(x + -1) 5x + (-2 * 2 + x * 2) = 13 + -3(x + -1) 5x + (-4 + 2x) = 13 + -3(x + -1) Reorder the terms: -4 + 5x + 2x = 13 + -3(x + -1) Combine like terms: 5x + 2x = 7x -4 + 7x = 13 + -3(x + -1) Reorder the terms: -4 + 7x = 13 + -3(-1 + x) -4 + 7x = 13 + (-1 * -3 + x * -3) -4 + 7x = 13 + (3 + -3x) Combine like terms: 13 + 3 = 16 -4 + 7x = 16 + -3x Solving -4 + 7x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 7x + 3x = 16 + -3x + 3x Combine like terms: 7x + 3x = 10x -4 + 10x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 10x = 16 + 0 -4 + 10x = 16 Add '4' to each side of the equation. -4 + 4 + 10x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 16 + 4 10x = 16 + 4 Combine like terms: 16 + 4 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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