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Simplifying -8 + 4(x + 8) = 7x + 6 Reorder the terms: -8 + 4(8 + x) = 7x + 6 -8 + (8 * 4 + x * 4) = 7x + 6 -8 + (32 + 4x) = 7x + 6 Combine like terms: -8 + 32 = 24 24 + 4x = 7x + 6 Reorder the terms: 24 + 4x = 6 + 7x Solving 24 + 4x = 6 + 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. 24 + 4x + -7x = 6 + 7x + -7x Combine like terms: 4x + -7x = -3x 24 + -3x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -3x = 6 + 0 24 + -3x = 6 Add '-24' to each side of the equation. 24 + -24 + -3x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 6 + -24 -3x = 6 + -24 Combine like terms: 6 + -24 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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