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Simplifying 2(2x + -5) + 3(4x + 1) = 19 Reorder the terms: 2(-5 + 2x) + 3(4x + 1) = 19 (-5 * 2 + 2x * 2) + 3(4x + 1) = 19 (-10 + 4x) + 3(4x + 1) = 19 Reorder the terms: -10 + 4x + 3(1 + 4x) = 19 -10 + 4x + (1 * 3 + 4x * 3) = 19 -10 + 4x + (3 + 12x) = 19 Reorder the terms: -10 + 3 + 4x + 12x = 19 Combine like terms: -10 + 3 = -7 -7 + 4x + 12x = 19 Combine like terms: 4x + 12x = 16x -7 + 16x = 19 Solving -7 + 16x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16x = 19 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 19 + 7 16x = 19 + 7 Combine like terms: 19 + 7 = 26 16x = 26 Divide each side by '16'. x = 1.625 Simplifying x = 1.625
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