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Simplifying -2x + 8 = 4(x + 8) Reorder the terms: 8 + -2x = 4(x + 8) Reorder the terms: 8 + -2x = 4(8 + x) 8 + -2x = (8 * 4 + x * 4) 8 + -2x = (32 + 4x) Solving 8 + -2x = 32 + 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. 8 + -2x + -4x = 32 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = 32 + 0 8 + -6x = 32 Add '-8' to each side of the equation. 8 + -8 + -6x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 32 + -8 -6x = 32 + -8 Combine like terms: 32 + -8 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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