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Simplifying 5x + 3(x + 8) = 4(x + 2) Reorder the terms: 5x + 3(8 + x) = 4(x + 2) 5x + (8 * 3 + x * 3) = 4(x + 2) 5x + (24 + 3x) = 4(x + 2) Reorder the terms: 24 + 5x + 3x = 4(x + 2) Combine like terms: 5x + 3x = 8x 24 + 8x = 4(x + 2) Reorder the terms: 24 + 8x = 4(2 + x) 24 + 8x = (2 * 4 + x * 4) 24 + 8x = (8 + 4x) Solving 24 + 8x = 8 + 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. 24 + 8x + -4x = 8 + 4x + -4x Combine like terms: 8x + -4x = 4x 24 + 4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 4x = 8 + 0 24 + 4x = 8 Add '-24' to each side of the equation. 24 + -24 + 4x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 8 + -24 4x = 8 + -24 Combine like terms: 8 + -24 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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