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Simplifying 8 = 3(x + 4) + -7x Reorder the terms: 8 = 3(4 + x) + -7x 8 = (4 * 3 + x * 3) + -7x 8 = (12 + 3x) + -7x Combine like terms: 3x + -7x = -4x 8 = 12 + -4x Solving 8 = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 4x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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