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Simplifying -4x + 2 = 8(x + -2) + 6 Reorder the terms: 2 + -4x = 8(x + -2) + 6 Reorder the terms: 2 + -4x = 8(-2 + x) + 6 2 + -4x = (-2 * 8 + x * 8) + 6 2 + -4x = (-16 + 8x) + 6 Reorder the terms: 2 + -4x = -16 + 6 + 8x Combine like terms: -16 + 6 = -10 2 + -4x = -10 + 8x Solving 2 + -4x = -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. 2 + -4x + -8x = -10 + 8x + -8x Combine like terms: -4x + -8x = -12x 2 + -12x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -12x = -10 + 0 2 + -12x = -10 Add '-2' to each side of the equation. 2 + -2 + -12x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = -10 + -2 -12x = -10 + -2 Combine like terms: -10 + -2 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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