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Simplifying 3x + 10 = 5(2x + 2) + -2x Reorder the terms: 10 + 3x = 5(2x + 2) + -2x Reorder the terms: 10 + 3x = 5(2 + 2x) + -2x 10 + 3x = (2 * 5 + 2x * 5) + -2x 10 + 3x = (10 + 10x) + -2x Combine like terms: 10x + -2x = 8x 10 + 3x = 10 + 8x Add '-10' to each side of the equation. 10 + -10 + 3x = 10 + -10 + 8x Combine like terms: 10 + -10 = 0 0 + 3x = 10 + -10 + 8x 3x = 10 + -10 + 8x Combine like terms: 10 + -10 = 0 3x = 0 + 8x 3x = 8x Solving 3x = 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. 3x + -8x = 8x + -8x Combine like terms: 3x + -8x = -5x -5x = 8x + -8x Combine like terms: 8x + -8x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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