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Simplifying x + 6 = 2(4x + -4) Reorder the terms: 6 + x = 2(4x + -4) Reorder the terms: 6 + x = 2(-4 + 4x) 6 + x = (-4 * 2 + 4x * 2) 6 + x = (-8 + 8x) Solving 6 + x = -8 + 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. 6 + x + -8x = -8 + 8x + -8x Combine like terms: x + -8x = -7x 6 + -7x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -7x = -8 + 0 6 + -7x = -8 Add '-6' to each side of the equation. 6 + -6 + -7x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -8 + -6 -7x = -8 + -6 Combine like terms: -8 + -6 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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