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Simplifying -3(2x + -4) + 8 = 6x + -1(3x + -2) Reorder the terms: -3(-4 + 2x) + 8 = 6x + -1(3x + -2) (-4 * -3 + 2x * -3) + 8 = 6x + -1(3x + -2) (12 + -6x) + 8 = 6x + -1(3x + -2) Reorder the terms: 12 + 8 + -6x = 6x + -1(3x + -2) Combine like terms: 12 + 8 = 20 20 + -6x = 6x + -1(3x + -2) Reorder the terms: 20 + -6x = 6x + -1(-2 + 3x) 20 + -6x = 6x + (-2 * -1 + 3x * -1) 20 + -6x = 6x + (2 + -3x) Reorder the terms: 20 + -6x = 2 + 6x + -3x Combine like terms: 6x + -3x = 3x 20 + -6x = 2 + 3x Solving 20 + -6x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + -6x + -3x = 2 + 3x + -3x Combine like terms: -6x + -3x = -9x 20 + -9x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -9x = 2 + 0 20 + -9x = 2 Add '-20' to each side of the equation. 20 + -20 + -9x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 2 + -20 -9x = 2 + -20 Combine like terms: 2 + -20 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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