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Simplifying 2(5x + 4) + 3(2x + 1) = 4x + 19 Reorder the terms: 2(4 + 5x) + 3(2x + 1) = 4x + 19 (4 * 2 + 5x * 2) + 3(2x + 1) = 4x + 19 (8 + 10x) + 3(2x + 1) = 4x + 19 Reorder the terms: 8 + 10x + 3(1 + 2x) = 4x + 19 8 + 10x + (1 * 3 + 2x * 3) = 4x + 19 8 + 10x + (3 + 6x) = 4x + 19 Reorder the terms: 8 + 3 + 10x + 6x = 4x + 19 Combine like terms: 8 + 3 = 11 11 + 10x + 6x = 4x + 19 Combine like terms: 10x + 6x = 16x 11 + 16x = 4x + 19 Reorder the terms: 11 + 16x = 19 + 4x Solving 11 + 16x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + 16x + -4x = 19 + 4x + -4x Combine like terms: 16x + -4x = 12x 11 + 12x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 12x = 19 + 0 11 + 12x = 19 Add '-11' to each side of the equation. 11 + -11 + 12x = 19 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 19 + -11 12x = 19 + -11 Combine like terms: 19 + -11 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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