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Simplifying -1(2x + -2) + -8 = 4 + 6(-5 + 3x) Reorder the terms: -1(-2 + 2x) + -8 = 4 + 6(-5 + 3x) (-2 * -1 + 2x * -1) + -8 = 4 + 6(-5 + 3x) (2 + -2x) + -8 = 4 + 6(-5 + 3x) Reorder the terms: 2 + -8 + -2x = 4 + 6(-5 + 3x) Combine like terms: 2 + -8 = -6 -6 + -2x = 4 + 6(-5 + 3x) -6 + -2x = 4 + (-5 * 6 + 3x * 6) -6 + -2x = 4 + (-30 + 18x) Combine like terms: 4 + -30 = -26 -6 + -2x = -26 + 18x Solving -6 + -2x = -26 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -6 + -2x + -18x = -26 + 18x + -18x Combine like terms: -2x + -18x = -20x -6 + -20x = -26 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + -20x = -26 + 0 -6 + -20x = -26 Add '6' to each side of the equation. -6 + 6 + -20x = -26 + 6 Combine like terms: -6 + 6 = 0 0 + -20x = -26 + 6 -20x = -26 + 6 Combine like terms: -26 + 6 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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