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Simplifying 3x + 40 + 2x = 10(x + 8) Reorder the terms: 40 + 3x + 2x = 10(x + 8) Combine like terms: 3x + 2x = 5x 40 + 5x = 10(x + 8) Reorder the terms: 40 + 5x = 10(8 + x) 40 + 5x = (8 * 10 + x * 10) 40 + 5x = (80 + 10x) Solving 40 + 5x = 80 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 40 + 5x + -10x = 80 + 10x + -10x Combine like terms: 5x + -10x = -5x 40 + -5x = 80 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + -5x = 80 + 0 40 + -5x = 80 Add '-40' to each side of the equation. 40 + -40 + -5x = 80 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = 80 + -40 -5x = 80 + -40 Combine like terms: 80 + -40 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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