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Simplifying 3x + 10 = 2(4x + 50) Reorder the terms: 10 + 3x = 2(4x + 50) Reorder the terms: 10 + 3x = 2(50 + 4x) 10 + 3x = (50 * 2 + 4x * 2) 10 + 3x = (100 + 8x) Solving 10 + 3x = 100 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 3x + -8x = 100 + 8x + -8x Combine like terms: 3x + -8x = -5x 10 + -5x = 100 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -5x = 100 + 0 10 + -5x = 100 Add '-10' to each side of the equation. 10 + -10 + -5x = 100 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 100 + -10 -5x = 100 + -10 Combine like terms: 100 + -10 = 90 -5x = 90 Divide each side by '-5'. x = -18 Simplifying x = -18
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