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Simplifying 2(4 + 5x) + 10x + 4 + 12 + 2x = 19 + 20 + -1x + 2x (4 * 2 + 5x * 2) + 10x + 4 + 12 + 2x = 19 + 20 + -1x + 2x (8 + 10x) + 10x + 4 + 12 + 2x = 19 + 20 + -1x + 2x Reorder the terms: 8 + 4 + 12 + 10x + 10x + 2x = 19 + 20 + -1x + 2x Combine like terms: 8 + 4 = 12 12 + 12 + 10x + 10x + 2x = 19 + 20 + -1x + 2x Combine like terms: 12 + 12 = 24 24 + 10x + 10x + 2x = 19 + 20 + -1x + 2x Combine like terms: 10x + 10x = 20x 24 + 20x + 2x = 19 + 20 + -1x + 2x Combine like terms: 20x + 2x = 22x 24 + 22x = 19 + 20 + -1x + 2x Combine like terms: 19 + 20 = 39 24 + 22x = 39 + -1x + 2x Combine like terms: -1x + 2x = 1x 24 + 22x = 39 + 1x Solving 24 + 22x = 39 + 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. 24 + 22x + -1x = 39 + 1x + -1x Combine like terms: 22x + -1x = 21x 24 + 21x = 39 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + 21x = 39 + 0 24 + 21x = 39 Add '-24' to each side of the equation. 24 + -24 + 21x = 39 + -24 Combine like terms: 24 + -24 = 0 0 + 21x = 39 + -24 21x = 39 + -24 Combine like terms: 39 + -24 = 15 21x = 15 Divide each side by '21'. x = 0.7142857143 Simplifying x = 0.7142857143
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