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Simplifying 4(2 + -2x) + 2 = 6(2x + -6) + -4x (2 * 4 + -2x * 4) + 2 = 6(2x + -6) + -4x (8 + -8x) + 2 = 6(2x + -6) + -4x Reorder the terms: 8 + 2 + -8x = 6(2x + -6) + -4x Combine like terms: 8 + 2 = 10 10 + -8x = 6(2x + -6) + -4x Reorder the terms: 10 + -8x = 6(-6 + 2x) + -4x 10 + -8x = (-6 * 6 + 2x * 6) + -4x 10 + -8x = (-36 + 12x) + -4x Combine like terms: 12x + -4x = 8x 10 + -8x = -36 + 8x Solving 10 + -8x = -36 + 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. 10 + -8x + -8x = -36 + 8x + -8x Combine like terms: -8x + -8x = -16x 10 + -16x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -16x = -36 + 0 10 + -16x = -36 Add '-10' to each side of the equation. 10 + -10 + -16x = -36 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = -36 + -10 -16x = -36 + -10 Combine like terms: -36 + -10 = -46 -16x = -46 Divide each side by '-16'. x = 2.875 Simplifying x = 2.875
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