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Simplifying -1(3x + 5) + 1 + -4(x + -2) + 5 + -2 = 0 Reorder the terms: -1(5 + 3x) + 1 + -4(x + -2) + 5 + -2 = 0 (5 * -1 + 3x * -1) + 1 + -4(x + -2) + 5 + -2 = 0 (-5 + -3x) + 1 + -4(x + -2) + 5 + -2 = 0 Reorder the terms: -5 + -3x + 1 + -4(-2 + x) + 5 + -2 = 0 -5 + -3x + 1 + (-2 * -4 + x * -4) + 5 + -2 = 0 -5 + -3x + 1 + (8 + -4x) + 5 + -2 = 0 Reorder the terms: -5 + 1 + 8 + 5 + -2 + -3x + -4x = 0 Combine like terms: -5 + 1 = -4 -4 + 8 + 5 + -2 + -3x + -4x = 0 Combine like terms: -4 + 8 = 4 4 + 5 + -2 + -3x + -4x = 0 Combine like terms: 4 + 5 = 9 9 + -2 + -3x + -4x = 0 Combine like terms: 9 + -2 = 7 7 + -3x + -4x = 0 Combine like terms: -3x + -4x = -7x 7 + -7x = 0 Solving 7 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 0 + -7 -7x = 0 + -7 Combine like terms: 0 + -7 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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