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Simplifying x + 4(x + 2) = 8(x + 4) + -7x Reorder the terms: x + 4(2 + x) = 8(x + 4) + -7x x + (2 * 4 + x * 4) = 8(x + 4) + -7x x + (8 + 4x) = 8(x + 4) + -7x Reorder the terms: 8 + x + 4x = 8(x + 4) + -7x Combine like terms: x + 4x = 5x 8 + 5x = 8(x + 4) + -7x Reorder the terms: 8 + 5x = 8(4 + x) + -7x 8 + 5x = (4 * 8 + x * 8) + -7x 8 + 5x = (32 + 8x) + -7x Combine like terms: 8x + -7x = 1x 8 + 5x = 32 + 1x Solving 8 + 5x = 32 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 5x + -1x = 32 + 1x + -1x Combine like terms: 5x + -1x = 4x 8 + 4x = 32 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 4x = 32 + 0 8 + 4x = 32 Add '-8' to each side of the equation. 8 + -8 + 4x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 32 + -8 4x = 32 + -8 Combine like terms: 32 + -8 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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