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Simplifying 2x + (x + -5) = 2(x + -12) Reorder the terms: 2x + (-5 + x) = 2(x + -12) Remove parenthesis around (-5 + x) 2x + -5 + x = 2(x + -12) Reorder the terms: -5 + 2x + x = 2(x + -12) Combine like terms: 2x + x = 3x -5 + 3x = 2(x + -12) Reorder the terms: -5 + 3x = 2(-12 + x) -5 + 3x = (-12 * 2 + x * 2) -5 + 3x = (-24 + 2x) Solving -5 + 3x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 3x + -2x = -24 + 2x + -2x Combine like terms: 3x + -2x = 1x -5 + 1x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 1x = -24 + 0 -5 + 1x = -24 Add '5' to each side of the equation. -5 + 5 + 1x = -24 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -24 + 5 1x = -24 + 5 Combine like terms: -24 + 5 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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