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Simplifying 6(x + -8) = 2x + 12 Reorder the terms: 6(-8 + x) = 2x + 12 (-8 * 6 + x * 6) = 2x + 12 (-48 + 6x) = 2x + 12 Reorder the terms: -48 + 6x = 12 + 2x Solving -48 + 6x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -48 + 6x + -2x = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x -48 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + 4x = 12 + 0 -48 + 4x = 12 Add '48' to each side of the equation. -48 + 48 + 4x = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 4x = 12 + 48 4x = 12 + 48 Combine like terms: 12 + 48 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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