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Simplifying (5x + -1) + 2x + 2(5 + -1x) + -3 + -1x = 3(x + -5) + 2 + -2 Reorder the terms: (-1 + 5x) + 2x + 2(5 + -1x) + -3 + -1x = 3(x + -5) + 2 + -2 Remove parenthesis around (-1 + 5x) -1 + 5x + 2x + 2(5 + -1x) + -3 + -1x = 3(x + -5) + 2 + -2 -1 + 5x + 2x + (5 * 2 + -1x * 2) + -3 + -1x = 3(x + -5) + 2 + -2 -1 + 5x + 2x + (10 + -2x) + -3 + -1x = 3(x + -5) + 2 + -2 Reorder the terms: -1 + 10 + -3 + 5x + 2x + -2x + -1x = 3(x + -5) + 2 + -2 Combine like terms: -1 + 10 = 9 9 + -3 + 5x + 2x + -2x + -1x = 3(x + -5) + 2 + -2 Combine like terms: 9 + -3 = 6 6 + 5x + 2x + -2x + -1x = 3(x + -5) + 2 + -2 Combine like terms: 5x + 2x = 7x 6 + 7x + -2x + -1x = 3(x + -5) + 2 + -2 Combine like terms: 7x + -2x = 5x 6 + 5x + -1x = 3(x + -5) + 2 + -2 Combine like terms: 5x + -1x = 4x 6 + 4x = 3(x + -5) + 2 + -2 Reorder the terms: 6 + 4x = 3(-5 + x) + 2 + -2 6 + 4x = (-5 * 3 + x * 3) + 2 + -2 6 + 4x = (-15 + 3x) + 2 + -2 Reorder the terms: 6 + 4x = -15 + 2 + -2 + 3x Combine like terms: -15 + 2 = -13 6 + 4x = -13 + -2 + 3x Combine like terms: -13 + -2 = -15 6 + 4x = -15 + 3x Solving 6 + 4x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x = -15 + 0 6 + 1x = -15 Add '-6' to each side of the equation. 6 + -6 + 1x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -15 + -6 1x = -15 + -6 Combine like terms: -15 + -6 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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