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Simplifying -2(6x + -4) + 8x = 6(x + 4) Reorder the terms: -2(-4 + 6x) + 8x = 6(x + 4) (-4 * -2 + 6x * -2) + 8x = 6(x + 4) (8 + -12x) + 8x = 6(x + 4) Combine like terms: -12x + 8x = -4x 8 + -4x = 6(x + 4) Reorder the terms: 8 + -4x = 6(4 + x) 8 + -4x = (4 * 6 + x * 6) 8 + -4x = (24 + 6x) Solving 8 + -4x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -4x + -6x = 24 + 6x + -6x Combine like terms: -4x + -6x = -10x 8 + -10x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -10x = 24 + 0 8 + -10x = 24 Add '-8' to each side of the equation. 8 + -8 + -10x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 24 + -8 -10x = 24 + -8 Combine like terms: 24 + -8 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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