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Simplifying 2(x + -2) + 3(x + -3) = 2 + -2(2x + -1) + 13 Reorder the terms: 2(-2 + x) + 3(x + -3) = 2 + -2(2x + -1) + 13 (-2 * 2 + x * 2) + 3(x + -3) = 2 + -2(2x + -1) + 13 (-4 + 2x) + 3(x + -3) = 2 + -2(2x + -1) + 13 Reorder the terms: -4 + 2x + 3(-3 + x) = 2 + -2(2x + -1) + 13 -4 + 2x + (-3 * 3 + x * 3) = 2 + -2(2x + -1) + 13 -4 + 2x + (-9 + 3x) = 2 + -2(2x + -1) + 13 Reorder the terms: -4 + -9 + 2x + 3x = 2 + -2(2x + -1) + 13 Combine like terms: -4 + -9 = -13 -13 + 2x + 3x = 2 + -2(2x + -1) + 13 Combine like terms: 2x + 3x = 5x -13 + 5x = 2 + -2(2x + -1) + 13 Reorder the terms: -13 + 5x = 2 + -2(-1 + 2x) + 13 -13 + 5x = 2 + (-1 * -2 + 2x * -2) + 13 -13 + 5x = 2 + (2 + -4x) + 13 Reorder the terms: -13 + 5x = 2 + 2 + 13 + -4x Combine like terms: 2 + 2 = 4 -13 + 5x = 4 + 13 + -4x Combine like terms: 4 + 13 = 17 -13 + 5x = 17 + -4x Solving -13 + 5x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -13 + 5x + 4x = 17 + -4x + 4x Combine like terms: 5x + 4x = 9x -13 + 9x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 9x = 17 + 0 -13 + 9x = 17 Add '13' to each side of the equation. -13 + 13 + 9x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 17 + 13 9x = 17 + 13 Combine like terms: 17 + 13 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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