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Simplifying 2[4x + 1] * 5 = 19 Reorder the terms: 2[1 + 4x] * 5 = 19 Reorder the terms for easier multiplication: 2 * 5[1 + 4x] = 19 Multiply 2 * 5 10[1 + 4x] = 19 [1 * 10 + 4x * 10] = 19 [10 + 40x] = 19 Solving 10 + 40x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 40x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 40x = 19 + -10 40x = 19 + -10 Combine like terms: 19 + -10 = 9 40x = 9 Divide each side by '40'. x = 0.225 Simplifying x = 0.225
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