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Simplifying (4x + -7) + (3x + 18) + -1(-5x + 2) = 0 Reorder the terms: (-7 + 4x) + (3x + 18) + -1(-5x + 2) = 0 Remove parenthesis around (-7 + 4x) -7 + 4x + (3x + 18) + -1(-5x + 2) = 0 Reorder the terms: -7 + 4x + (18 + 3x) + -1(-5x + 2) = 0 Remove parenthesis around (18 + 3x) -7 + 4x + 18 + 3x + -1(-5x + 2) = 0 Reorder the terms: -7 + 4x + 18 + 3x + -1(2 + -5x) = 0 -7 + 4x + 18 + 3x + (2 * -1 + -5x * -1) = 0 -7 + 4x + 18 + 3x + (-2 + 5x) = 0 Reorder the terms: -7 + 18 + -2 + 4x + 3x + 5x = 0 Combine like terms: -7 + 18 = 11 11 + -2 + 4x + 3x + 5x = 0 Combine like terms: 11 + -2 = 9 9 + 4x + 3x + 5x = 0 Combine like terms: 4x + 3x = 7x 9 + 7x + 5x = 0 Combine like terms: 7x + 5x = 12x 9 + 12x = 0 Solving 9 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 12x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 0 + -9 12x = 0 + -9 Combine like terms: 0 + -9 = -9 12x = -9 Divide each side by '12'. x = -0.75 Simplifying x = -0.75
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