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Simplifying -1(3x + 5) + 1 + -4(x + -2) + 5x + -2 = 0 Reorder the terms: -1(5 + 3x) + 1 + -4(x + -2) + 5x + -2 = 0 (5 * -1 + 3x * -1) + 1 + -4(x + -2) + 5x + -2 = 0 (-5 + -3x) + 1 + -4(x + -2) + 5x + -2 = 0 Reorder the terms: -5 + -3x + 1 + -4(-2 + x) + 5x + -2 = 0 -5 + -3x + 1 + (-2 * -4 + x * -4) + 5x + -2 = 0 -5 + -3x + 1 + (8 + -4x) + 5x + -2 = 0 Reorder the terms: -5 + 1 + 8 + -2 + -3x + -4x + 5x = 0 Combine like terms: -5 + 1 = -4 -4 + 8 + -2 + -3x + -4x + 5x = 0 Combine like terms: -4 + 8 = 4 4 + -2 + -3x + -4x + 5x = 0 Combine like terms: 4 + -2 = 2 2 + -3x + -4x + 5x = 0 Combine like terms: -3x + -4x = -7x 2 + -7x + 5x = 0 Combine like terms: -7x + 5x = -2x 2 + -2x = 0 Solving 2 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 0 + -2 -2x = 0 + -2 Combine like terms: 0 + -2 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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