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Simplifying -2(3x + -6) + 8x = 8 + 2(3x + -5) Reorder the terms: -2(-6 + 3x) + 8x = 8 + 2(3x + -5) (-6 * -2 + 3x * -2) + 8x = 8 + 2(3x + -5) (12 + -6x) + 8x = 8 + 2(3x + -5) Combine like terms: -6x + 8x = 2x 12 + 2x = 8 + 2(3x + -5) Reorder the terms: 12 + 2x = 8 + 2(-5 + 3x) 12 + 2x = 8 + (-5 * 2 + 3x * 2) 12 + 2x = 8 + (-10 + 6x) Combine like terms: 8 + -10 = -2 12 + 2x = -2 + 6x Solving 12 + 2x = -2 + 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. 12 + 2x + -6x = -2 + 6x + -6x Combine like terms: 2x + -6x = -4x 12 + -4x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4x = -2 + 0 12 + -4x = -2 Add '-12' to each side of the equation. 12 + -12 + -4x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -2 + -12 -4x = -2 + -12 Combine like terms: -2 + -12 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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