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Simplifying -8x + 8(7x + 6) = 8x + -32 Reorder the terms: -8x + 8(6 + 7x) = 8x + -32 -8x + (6 * 8 + 7x * 8) = 8x + -32 -8x + (48 + 56x) = 8x + -32 Reorder the terms: 48 + -8x + 56x = 8x + -32 Combine like terms: -8x + 56x = 48x 48 + 48x = 8x + -32 Reorder the terms: 48 + 48x = -32 + 8x Solving 48 + 48x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 48 + 48x + -8x = -32 + 8x + -8x Combine like terms: 48x + -8x = 40x 48 + 40x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 48 + 40x = -32 + 0 48 + 40x = -32 Add '-48' to each side of the equation. 48 + -48 + 40x = -32 + -48 Combine like terms: 48 + -48 = 0 0 + 40x = -32 + -48 40x = -32 + -48 Combine like terms: -32 + -48 = -80 40x = -80 Divide each side by '40'. x = -2 Simplifying x = -2
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