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Simplifying 3(x + 8) + 2x + -4 = x + 8 Reorder the terms: 3(8 + x) + 2x + -4 = x + 8 (8 * 3 + x * 3) + 2x + -4 = x + 8 (24 + 3x) + 2x + -4 = x + 8 Reorder the terms: 24 + -4 + 3x + 2x = x + 8 Combine like terms: 24 + -4 = 20 20 + 3x + 2x = x + 8 Combine like terms: 3x + 2x = 5x 20 + 5x = x + 8 Reorder the terms: 20 + 5x = 8 + x Solving 20 + 5x = 8 + x 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. 20 + 5x + -1x = 8 + x + -1x Combine like terms: 5x + -1x = 4x 20 + 4x = 8 + x + -1x Combine like terms: x + -1x = 0 20 + 4x = 8 + 0 20 + 4x = 8 Add '-20' to each side of the equation. 20 + -20 + 4x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 8 + -20 4x = 8 + -20 Combine like terms: 8 + -20 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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