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