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Simplifying -2(3x + -1) + 8 = 3(4x + -2) + -8x Reorder the terms: -2(-1 + 3x) + 8 = 3(4x + -2) + -8x (-1 * -2 + 3x * -2) + 8 = 3(4x + -2) + -8x (2 + -6x) + 8 = 3(4x + -2) + -8x Reorder the terms: 2 + 8 + -6x = 3(4x + -2) + -8x Combine like terms: 2 + 8 = 10 10 + -6x = 3(4x + -2) + -8x Reorder the terms: 10 + -6x = 3(-2 + 4x) + -8x 10 + -6x = (-2 * 3 + 4x * 3) + -8x 10 + -6x = (-6 + 12x) + -8x Combine like terms: 12x + -8x = 4x 10 + -6x = -6 + 4x Solving 10 + -6x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -6x + -4x = -6 + 4x + -4x Combine like terms: -6x + -4x = -10x 10 + -10x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -10x = -6 + 0 10 + -10x = -6 Add '-10' to each side of the equation. 10 + -10 + -10x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -6 + -10 -10x = -6 + -10 Combine like terms: -6 + -10 = -16 -10x = -16 Divide each side by '-10'. x = 1.6 Simplifying x = 1.6
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