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Simplifying -2x + 8 = 6(x + 8) Reorder the terms: 8 + -2x = 6(x + 8) Reorder the terms: 8 + -2x = 6(8 + x) 8 + -2x = (8 * 6 + x * 6) 8 + -2x = (48 + 6x) Solving 8 + -2x = 48 + 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 = 48 + 6x + -6x Combine like terms: -2x + -6x = -8x 8 + -8x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -8x = 48 + 0 8 + -8x = 48 Add '-8' to each side of the equation. 8 + -8 + -8x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 48 + -8 -8x = 48 + -8 Combine like terms: 48 + -8 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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