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Simplifying 3(x + -3) + 2(x + -2) = 13 + -5x Reorder the terms: 3(-3 + x) + 2(x + -2) = 13 + -5x (-3 * 3 + x * 3) + 2(x + -2) = 13 + -5x (-9 + 3x) + 2(x + -2) = 13 + -5x Reorder the terms: -9 + 3x + 2(-2 + x) = 13 + -5x -9 + 3x + (-2 * 2 + x * 2) = 13 + -5x -9 + 3x + (-4 + 2x) = 13 + -5x Reorder the terms: -9 + -4 + 3x + 2x = 13 + -5x Combine like terms: -9 + -4 = -13 -13 + 3x + 2x = 13 + -5x Combine like terms: 3x + 2x = 5x -13 + 5x = 13 + -5x Solving -13 + 5x = 13 + -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. -13 + 5x + 5x = 13 + -5x + 5x Combine like terms: 5x + 5x = 10x -13 + 10x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + 10x = 13 + 0 -13 + 10x = 13 Add '13' to each side of the equation. -13 + 13 + 10x = 13 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 13 + 13 10x = 13 + 13 Combine like terms: 13 + 13 = 26 10x = 26 Divide each side by '10'. x = 2.6 Simplifying x = 2.6
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