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Simplifying 3x + 42 = 8(x + 4) Reorder the terms: 42 + 3x = 8(x + 4) Reorder the terms: 42 + 3x = 8(4 + x) 42 + 3x = (4 * 8 + x * 8) 42 + 3x = (32 + 8x) Solving 42 + 3x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 3x + -8x = 32 + 8x + -8x Combine like terms: 3x + -8x = -5x 42 + -5x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -5x = 32 + 0 42 + -5x = 32 Add '-42' to each side of the equation. 42 + -42 + -5x = 32 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 32 + -42 -5x = 32 + -42 Combine like terms: 32 + -42 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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