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Simplifying -6(x + -2) + 8x = -4 + 4x Reorder the terms: -6(-2 + x) + 8x = -4 + 4x (-2 * -6 + x * -6) + 8x = -4 + 4x (12 + -6x) + 8x = -4 + 4x Combine like terms: -6x + 8x = 2x 12 + 2x = -4 + 4x Solving 12 + 2x = -4 + 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. 12 + 2x + -4x = -4 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -2x = -4 + 0 12 + -2x = -4 Add '-12' to each side of the equation. 12 + -12 + -2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -4 + -12 -2x = -4 + -12 Combine like terms: -4 + -12 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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