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Simplifying 2x + -1(x + 2) + 3(x + -5) = (x + 2) + 15 Reorder the terms: 2x + -1(2 + x) + 3(x + -5) = (x + 2) + 15 2x + (2 * -1 + x * -1) + 3(x + -5) = (x + 2) + 15 2x + (-2 + -1x) + 3(x + -5) = (x + 2) + 15 Reorder the terms: 2x + -2 + -1x + 3(-5 + x) = (x + 2) + 15 2x + -2 + -1x + (-5 * 3 + x * 3) = (x + 2) + 15 2x + -2 + -1x + (-15 + 3x) = (x + 2) + 15 Reorder the terms: -2 + -15 + 2x + -1x + 3x = (x + 2) + 15 Combine like terms: -2 + -15 = -17 -17 + 2x + -1x + 3x = (x + 2) + 15 Combine like terms: 2x + -1x = 1x -17 + 1x + 3x = (x + 2) + 15 Combine like terms: 1x + 3x = 4x -17 + 4x = (x + 2) + 15 Reorder the terms: -17 + 4x = (2 + x) + 15 Remove parenthesis around (2 + x) -17 + 4x = 2 + x + 15 Reorder the terms: -17 + 4x = 2 + 15 + x Combine like terms: 2 + 15 = 17 -17 + 4x = 17 + x Solving -17 + 4x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 4x + -1x = 17 + x + -1x Combine like terms: 4x + -1x = 3x -17 + 3x = 17 + x + -1x Combine like terms: x + -1x = 0 -17 + 3x = 17 + 0 -17 + 3x = 17 Add '17' to each side of the equation. -17 + 17 + 3x = 17 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 17 + 17 3x = 17 + 17 Combine like terms: 17 + 17 = 34 3x = 34 Divide each side by '3'. x = 11.33333333 Simplifying x = 11.33333333
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