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Simplifying 10(2 + -1x) = 2x + 7 + -7x + 3 (2 * 10 + -1x * 10) = 2x + 7 + -7x + 3 (20 + -10x) = 2x + 7 + -7x + 3 Reorder the terms: 20 + -10x = 7 + 3 + 2x + -7x Combine like terms: 7 + 3 = 10 20 + -10x = 10 + 2x + -7x Combine like terms: 2x + -7x = -5x 20 + -10x = 10 + -5x Solving 20 + -10x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + -10x + 5x = 10 + -5x + 5x Combine like terms: -10x + 5x = -5x 20 + -5x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + -5x = 10 + 0 20 + -5x = 10 Add '-20' to each side of the equation. 20 + -20 + -5x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 10 + -20 -5x = 10 + -20 Combine like terms: 10 + -20 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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