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Simplifying 8(6x + 4) = 32 + -7x Reorder the terms: 8(4 + 6x) = 32 + -7x (4 * 8 + 6x * 8) = 32 + -7x (32 + 48x) = 32 + -7x Add '-32' to each side of the equation. 32 + -32 + 48x = 32 + -32 + -7x Combine like terms: 32 + -32 = 0 0 + 48x = 32 + -32 + -7x 48x = 32 + -32 + -7x Combine like terms: 32 + -32 = 0 48x = 0 + -7x 48x = -7x Solving 48x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 48x + 7x = -7x + 7x Combine like terms: 48x + 7x = 55x 55x = -7x + 7x Combine like terms: -7x + 7x = 0 55x = 0 Divide each side by '55'. x = 0 Simplifying x = 0
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