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Simplifying (5x + -3) + -1(x + 5) = 2x + 4 Reorder the terms: (-3 + 5x) + -1(x + 5) = 2x + 4 Remove parenthesis around (-3 + 5x) -3 + 5x + -1(x + 5) = 2x + 4 Reorder the terms: -3 + 5x + -1(5 + x) = 2x + 4 -3 + 5x + (5 * -1 + x * -1) = 2x + 4 -3 + 5x + (-5 + -1x) = 2x + 4 Reorder the terms: -3 + -5 + 5x + -1x = 2x + 4 Combine like terms: -3 + -5 = -8 -8 + 5x + -1x = 2x + 4 Combine like terms: 5x + -1x = 4x -8 + 4x = 2x + 4 Reorder the terms: -8 + 4x = 4 + 2x Solving -8 + 4x = 4 + 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. -8 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 4 + 0 -8 + 2x = 4 Add '8' to each side of the equation. -8 + 8 + 2x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 4 + 8 2x = 4 + 8 Combine like terms: 4 + 8 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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