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Simplifying 3(x + 10) = 2(2x + 16) Reorder the terms: 3(10 + x) = 2(2x + 16) (10 * 3 + x * 3) = 2(2x + 16) (30 + 3x) = 2(2x + 16) Reorder the terms: 30 + 3x = 2(16 + 2x) 30 + 3x = (16 * 2 + 2x * 2) 30 + 3x = (32 + 4x) Solving 30 + 3x = 32 + 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 = 32 + 4x + -4x Combine like terms: 3x + -4x = -1x 30 + -1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -1x = 32 + 0 30 + -1x = 32 Add '-30' to each side of the equation. 30 + -30 + -1x = 32 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 32 + -30 -1x = 32 + -30 Combine like terms: 32 + -30 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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