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Simplifying 8(7x + -6) = 32x Reorder the terms: 8(-6 + 7x) = 32x (-6 * 8 + 7x * 8) = 32x (-48 + 56x) = 32x Solving -48 + 56x = 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 + 56x + -32x = 32x + -32x Combine like terms: 56x + -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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