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Simplifying -3 + x + -5((2x + 4) + -1(x + 2)) = x + 2 Reorder the terms: -3 + x + -5((4 + 2x) + -1(x + 2)) = x + 2 Remove parenthesis around (4 + 2x) -3 + x + -5(4 + 2x + -1(x + 2)) = x + 2 Reorder the terms: -3 + x + -5(4 + 2x + -1(2 + x)) = x + 2 -3 + x + -5(4 + 2x + (2 * -1 + x * -1)) = x + 2 -3 + x + -5(4 + 2x + (-2 + -1x)) = x + 2 Reorder the terms: -3 + x + -5(4 + -2 + 2x + -1x) = x + 2 Combine like terms: 4 + -2 = 2 -3 + x + -5(2 + 2x + -1x) = x + 2 Combine like terms: 2x + -1x = 1x -3 + x + -5(2 + 1x) = x + 2 -3 + x + (2 * -5 + 1x * -5) = x + 2 -3 + x + (-10 + -5x) = x + 2 Reorder the terms: -3 + -10 + x + -5x = x + 2 Combine like terms: -3 + -10 = -13 -13 + x + -5x = x + 2 Combine like terms: x + -5x = -4x -13 + -4x = x + 2 Reorder the terms: -13 + -4x = 2 + x Solving -13 + -4x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + -4x + -1x = 2 + x + -1x Combine like terms: -4x + -1x = -5x -13 + -5x = 2 + x + -1x Combine like terms: x + -1x = 0 -13 + -5x = 2 + 0 -13 + -5x = 2 Add '13' to each side of the equation. -13 + 13 + -5x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 2 + 13 -5x = 2 + 13 Combine like terms: 2 + 13 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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