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Simplifying 2(x + 3) + -5 = 5x + 2(10 + -2x) Reorder the terms: 2(3 + x) + -5 = 5x + 2(10 + -2x) (3 * 2 + x * 2) + -5 = 5x + 2(10 + -2x) (6 + 2x) + -5 = 5x + 2(10 + -2x) Reorder the terms: 6 + -5 + 2x = 5x + 2(10 + -2x) Combine like terms: 6 + -5 = 1 1 + 2x = 5x + 2(10 + -2x) 1 + 2x = 5x + (10 * 2 + -2x * 2) 1 + 2x = 5x + (20 + -4x) Reorder the terms: 1 + 2x = 20 + 5x + -4x Combine like terms: 5x + -4x = 1x 1 + 2x = 20 + 1x Solving 1 + 2x = 20 + 1x 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. 1 + 2x + -1x = 20 + 1x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = 20 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 1x = 20 + 0 1 + 1x = 20 Add '-1' to each side of the equation. 1 + -1 + 1x = 20 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 20 + -1 1x = 20 + -1 Combine like terms: 20 + -1 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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