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Simplifying 2(x + 4) = 8(x + -2) + -2x Reorder the terms: 2(4 + x) = 8(x + -2) + -2x (4 * 2 + x * 2) = 8(x + -2) + -2x (8 + 2x) = 8(x + -2) + -2x Reorder the terms: 8 + 2x = 8(-2 + x) + -2x 8 + 2x = (-2 * 8 + x * 8) + -2x 8 + 2x = (-16 + 8x) + -2x Combine like terms: 8x + -2x = 6x 8 + 2x = -16 + 6x Solving 8 + 2x = -16 + 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. 8 + 2x + -6x = -16 + 6x + -6x Combine like terms: 2x + -6x = -4x 8 + -4x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -4x = -16 + 0 8 + -4x = -16 Add '-8' to each side of the equation. 8 + -8 + -4x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -16 + -8 -4x = -16 + -8 Combine like terms: -16 + -8 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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