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Simplifying 6(x + -8) = 52 + -2x Reorder the terms: 6(-8 + x) = 52 + -2x (-8 * 6 + x * 6) = 52 + -2x (-48 + 6x) = 52 + -2x Solving -48 + 6x = 52 + -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 = 52 + -2x + 2x Combine like terms: 6x + 2x = 8x -48 + 8x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + 8x = 52 + 0 -48 + 8x = 52 Add '48' to each side of the equation. -48 + 48 + 8x = 52 + 48 Combine like terms: -48 + 48 = 0 0 + 8x = 52 + 48 8x = 52 + 48 Combine like terms: 52 + 48 = 100 8x = 100 Divide each side by '8'. x = 12.5 Simplifying x = 12.5
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