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Simplifying 3(x + 10) = 2(2x + 17) Reorder the terms: 3(10 + x) = 2(2x + 17) (10 * 3 + x * 3) = 2(2x + 17) (30 + 3x) = 2(2x + 17) Reorder the terms: 30 + 3x = 2(17 + 2x) 30 + 3x = (17 * 2 + 2x * 2) 30 + 3x = (34 + 4x) Solving 30 + 3x = 34 + 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. 30 + 3x + -4x = 34 + 4x + -4x Combine like terms: 3x + -4x = -1x 30 + -1x = 34 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -1x = 34 + 0 30 + -1x = 34 Add '-30' to each side of the equation. 30 + -30 + -1x = 34 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 34 + -30 -1x = 34 + -30 Combine like terms: 34 + -30 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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