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Simplifying (3 + 2x) + -1(5 + -1x) * 4 + (x + -3) * 2 + -1(5x + 7) = 0 Remove parenthesis around (3 + 2x) 3 + 2x + -1(5 + -1x) * 4 + (x + -3) * 2 + -1(5x + 7) = 0 Reorder the terms for easier multiplication: 3 + 2x + -1 * 4(5 + -1x) + (x + -3) * 2 + -1(5x + 7) = 0 Multiply -1 * 4 3 + 2x + -4(5 + -1x) + (x + -3) * 2 + -1(5x + 7) = 0 3 + 2x + (5 * -4 + -1x * -4) + (x + -3) * 2 + -1(5x + 7) = 0 3 + 2x + (-20 + 4x) + (x + -3) * 2 + -1(5x + 7) = 0 Reorder the terms: 3 + 2x + -20 + 4x + (-3 + x) * 2 + -1(5x + 7) = 0 Reorder the terms for easier multiplication: 3 + 2x + -20 + 4x + 2(-3 + x) + -1(5x + 7) = 0 3 + 2x + -20 + 4x + (-3 * 2 + x * 2) + -1(5x + 7) = 0 3 + 2x + -20 + 4x + (-6 + 2x) + -1(5x + 7) = 0 Reorder the terms: 3 + 2x + -20 + 4x + -6 + 2x + -1(7 + 5x) = 0 3 + 2x + -20 + 4x + -6 + 2x + (7 * -1 + 5x * -1) = 0 3 + 2x + -20 + 4x + -6 + 2x + (-7 + -5x) = 0 Reorder the terms: 3 + -20 + -6 + -7 + 2x + 4x + 2x + -5x = 0 Combine like terms: 3 + -20 = -17 -17 + -6 + -7 + 2x + 4x + 2x + -5x = 0 Combine like terms: -17 + -6 = -23 -23 + -7 + 2x + 4x + 2x + -5x = 0 Combine like terms: -23 + -7 = -30 -30 + 2x + 4x + 2x + -5x = 0 Combine like terms: 2x + 4x = 6x -30 + 6x + 2x + -5x = 0 Combine like terms: 6x + 2x = 8x -30 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x -30 + 3x = 0 Solving -30 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 3x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 0 + 30 3x = 0 + 30 Combine like terms: 0 + 30 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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