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Simplifying 2(5x + 3) + 2(3x + 4) = 10x + 1 Reorder the terms: 2(3 + 5x) + 2(3x + 4) = 10x + 1 (3 * 2 + 5x * 2) + 2(3x + 4) = 10x + 1 (6 + 10x) + 2(3x + 4) = 10x + 1 Reorder the terms: 6 + 10x + 2(4 + 3x) = 10x + 1 6 + 10x + (4 * 2 + 3x * 2) = 10x + 1 6 + 10x + (8 + 6x) = 10x + 1 Reorder the terms: 6 + 8 + 10x + 6x = 10x + 1 Combine like terms: 6 + 8 = 14 14 + 10x + 6x = 10x + 1 Combine like terms: 10x + 6x = 16x 14 + 16x = 10x + 1 Reorder the terms: 14 + 16x = 1 + 10x Solving 14 + 16x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 16x + -10x = 1 + 10x + -10x Combine like terms: 16x + -10x = 6x 14 + 6x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + 6x = 1 + 0 14 + 6x = 1 Add '-14' to each side of the equation. 14 + -14 + 6x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 1 + -14 6x = 1 + -14 Combine like terms: 1 + -14 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667
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