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Simplifying 7x + 5(x + 3) + -10x = x + 20 Reorder the terms: 7x + 5(3 + x) + -10x = x + 20 7x + (3 * 5 + x * 5) + -10x = x + 20 7x + (15 + 5x) + -10x = x + 20 Reorder the terms: 15 + 7x + 5x + -10x = x + 20 Combine like terms: 7x + 5x = 12x 15 + 12x + -10x = x + 20 Combine like terms: 12x + -10x = 2x 15 + 2x = x + 20 Reorder the terms: 15 + 2x = 20 + x Solving 15 + 2x = 20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 2x + -1x = 20 + x + -1x Combine like terms: 2x + -1x = 1x 15 + 1x = 20 + x + -1x Combine like terms: x + -1x = 0 15 + 1x = 20 + 0 15 + 1x = 20 Add '-15' to each side of the equation. 15 + -15 + 1x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 20 + -15 1x = 20 + -15 Combine like terms: 20 + -15 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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