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Simplifying 3(2x + -2) = 2(4x + -1) + -8 Reorder the terms: 3(-2 + 2x) = 2(4x + -1) + -8 (-2 * 3 + 2x * 3) = 2(4x + -1) + -8 (-6 + 6x) = 2(4x + -1) + -8 Reorder the terms: -6 + 6x = 2(-1 + 4x) + -8 -6 + 6x = (-1 * 2 + 4x * 2) + -8 -6 + 6x = (-2 + 8x) + -8 Reorder the terms: -6 + 6x = -2 + -8 + 8x Combine like terms: -2 + -8 = -10 -6 + 6x = -10 + 8x Solving -6 + 6x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 6x + -8x = -10 + 8x + -8x Combine like terms: 6x + -8x = -2x -6 + -2x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -2x = -10 + 0 -6 + -2x = -10 Add '6' to each side of the equation. -6 + 6 + -2x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -10 + 6 -2x = -10 + 6 Combine like terms: -10 + 6 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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