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Simplifying 5(x + x + 2 + x + 4) = 140 + 10x Reorder the terms: 5(2 + 4 + x + x + x) = 140 + 10x Combine like terms: 2 + 4 = 6 5(6 + x + x + x) = 140 + 10x Combine like terms: x + x = 2x 5(6 + 2x + x) = 140 + 10x Combine like terms: 2x + x = 3x 5(6 + 3x) = 140 + 10x (6 * 5 + 3x * 5) = 140 + 10x (30 + 15x) = 140 + 10x Solving 30 + 15x = 140 + 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. 30 + 15x + -10x = 140 + 10x + -10x Combine like terms: 15x + -10x = 5x 30 + 5x = 140 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + 5x = 140 + 0 30 + 5x = 140 Add '-30' to each side of the equation. 30 + -30 + 5x = 140 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 140 + -30 5x = 140 + -30 Combine like terms: 140 + -30 = 110 5x = 110 Divide each side by '5'. x = 22 Simplifying x = 22
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