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Simplifying 10(x + 2) = 4(x + 17) Reorder the terms: 10(2 + x) = 4(x + 17) (2 * 10 + x * 10) = 4(x + 17) (20 + 10x) = 4(x + 17) Reorder the terms: 20 + 10x = 4(17 + x) 20 + 10x = (17 * 4 + x * 4) 20 + 10x = (68 + 4x) Solving 20 + 10x = 68 + 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. 20 + 10x + -4x = 68 + 4x + -4x Combine like terms: 10x + -4x = 6x 20 + 6x = 68 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 6x = 68 + 0 20 + 6x = 68 Add '-20' to each side of the equation. 20 + -20 + 6x = 68 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 68 + -20 6x = 68 + -20 Combine like terms: 68 + -20 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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