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Simplifying 1(x + -3) + 2x = -1(x + -5) + 4 Reorder the terms: 1(-3 + x) + 2x = -1(x + -5) + 4 (-3 * 1 + x * 1) + 2x = -1(x + -5) + 4 (-3 + 1x) + 2x = -1(x + -5) + 4 Combine like terms: 1x + 2x = 3x -3 + 3x = -1(x + -5) + 4 Reorder the terms: -3 + 3x = -1(-5 + x) + 4 -3 + 3x = (-5 * -1 + x * -1) + 4 -3 + 3x = (5 + -1x) + 4 Reorder the terms: -3 + 3x = 5 + 4 + -1x Combine like terms: 5 + 4 = 9 -3 + 3x = 9 + -1x Solving -3 + 3x = 9 + -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 = 9 + -1x + x Combine like terms: 3x + x = 4x -3 + 4x = 9 + -1x + x Combine like terms: -1x + x = 0 -3 + 4x = 9 + 0 -3 + 4x = 9 Add '3' to each side of the equation. -3 + 3 + 4x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 9 + 3 4x = 9 + 3 Combine like terms: 9 + 3 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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