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Simplifying (5x + -3) + -1(2x + -4) = -1(x + 3) + -1(x + 5) + (x + 3) Reorder the terms: (-3 + 5x) + -1(2x + -4) = -1(x + 3) + -1(x + 5) + (x + 3) Remove parenthesis around (-3 + 5x) -3 + 5x + -1(2x + -4) = -1(x + 3) + -1(x + 5) + (x + 3) Reorder the terms: -3 + 5x + -1(-4 + 2x) = -1(x + 3) + -1(x + 5) + (x + 3) -3 + 5x + (-4 * -1 + 2x * -1) = -1(x + 3) + -1(x + 5) + (x + 3) -3 + 5x + (4 + -2x) = -1(x + 3) + -1(x + 5) + (x + 3) Reorder the terms: -3 + 4 + 5x + -2x = -1(x + 3) + -1(x + 5) + (x + 3) Combine like terms: -3 + 4 = 1 1 + 5x + -2x = -1(x + 3) + -1(x + 5) + (x + 3) Combine like terms: 5x + -2x = 3x 1 + 3x = -1(x + 3) + -1(x + 5) + (x + 3) Reorder the terms: 1 + 3x = -1(3 + x) + -1(x + 5) + (x + 3) 1 + 3x = (3 * -1 + x * -1) + -1(x + 5) + (x + 3) 1 + 3x = (-3 + -1x) + -1(x + 5) + (x + 3) Reorder the terms: 1 + 3x = -3 + -1x + -1(5 + x) + (x + 3) 1 + 3x = -3 + -1x + (5 * -1 + x * -1) + (x + 3) 1 + 3x = -3 + -1x + (-5 + -1x) + (x + 3) Reorder the terms: 1 + 3x = -3 + -1x + -5 + -1x + (3 + x) Remove parenthesis around (3 + x) 1 + 3x = -3 + -1x + -5 + -1x + 3 + x Reorder the terms: 1 + 3x = -3 + -5 + 3 + -1x + -1x + x Combine like terms: -3 + -5 = -8 1 + 3x = -8 + 3 + -1x + -1x + x Combine like terms: -8 + 3 = -5 1 + 3x = -5 + -1x + -1x + x Combine like terms: -1x + -1x = -2x 1 + 3x = -5 + -2x + x Combine like terms: -2x + x = -1x 1 + 3x = -5 + -1x Solving 1 + 3x = -5 + -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. 1 + 3x + x = -5 + -1x + x Combine like terms: 3x + x = 4x 1 + 4x = -5 + -1x + x Combine like terms: -1x + x = 0 1 + 4x = -5 + 0 1 + 4x = -5 Add '-1' to each side of the equation. 1 + -1 + 4x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -5 + -1 4x = -5 + -1 Combine like terms: -5 + -1 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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