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Simplifying (x + -3) + 2x = -1(x + -5) + 42 Reorder the terms: (-3 + x) + 2x = -1(x + -5) + 42 Remove parenthesis around (-3 + x) -3 + x + 2x = -1(x + -5) + 42 Combine like terms: x + 2x = 3x -3 + 3x = -1(x + -5) + 42 Reorder the terms: -3 + 3x = -1(-5 + x) + 42 -3 + 3x = (-5 * -1 + x * -1) + 42 -3 + 3x = (5 + -1x) + 42 Reorder the terms: -3 + 3x = 5 + 42 + -1x Combine like terms: 5 + 42 = 47 -3 + 3x = 47 + -1x Solving -3 + 3x = 47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 3x + x = 47 + -1x + x Combine like terms: 3x + x = 4x -3 + 4x = 47 + -1x + x Combine like terms: -1x + x = 0 -3 + 4x = 47 + 0 -3 + 4x = 47 Add '3' to each side of the equation. -3 + 3 + 4x = 47 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 47 + 3 4x = 47 + 3 Combine like terms: 47 + 3 = 50 4x = 50 Divide each side by '4'. x = 12.5 Simplifying x = 12.5
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