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