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Simplifying 8(6x + 4) = -1x + 32 Reorder the terms: 8(4 + 6x) = -1x + 32 (4 * 8 + 6x * 8) = -1x + 32 (32 + 48x) = -1x + 32 Reorder the terms: 32 + 48x = 32 + -1x Add '-32' to each side of the equation. 32 + -32 + 48x = 32 + -32 + -1x Combine like terms: 32 + -32 = 0 0 + 48x = 32 + -32 + -1x 48x = 32 + -32 + -1x Combine like terms: 32 + -32 = 0 48x = 0 + -1x 48x = -1x Solving 48x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 48x + x = -1x + x Combine like terms: 48x + x = 49x 49x = -1x + x Combine like terms: -1x + x = 0 49x = 0 Divide each side by '49'. x = 0 Simplifying x = 0
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