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Simplifying (x + 6) * 8 = 32x Reorder the terms: (6 + x) * 8 = 32x Reorder the terms for easier multiplication: 8(6 + x) = 32x (6 * 8 + x * 8) = 32x (48 + 8x) = 32x Solving 48 + 8x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 48 + 8x + -32x = 32x + -32x Combine like terms: 8x + -32x = -24x 48 + -24x = 32x + -32x Combine like terms: 32x + -32x = 0 48 + -24x = 0 Add '-48' to each side of the equation. 48 + -48 + -24x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -24x = 0 + -48 -24x = 0 + -48 Combine like terms: 0 + -48 = -48 -24x = -48 Divide each side by '-24'. x = 2 Simplifying x = 2
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