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Simplifying 5(4 + x) + -1 = 2(x + 10) + -4x (4 * 5 + x * 5) + -1 = 2(x + 10) + -4x (20 + 5x) + -1 = 2(x + 10) + -4x Reorder the terms: 20 + -1 + 5x = 2(x + 10) + -4x Combine like terms: 20 + -1 = 19 19 + 5x = 2(x + 10) + -4x Reorder the terms: 19 + 5x = 2(10 + x) + -4x 19 + 5x = (10 * 2 + x * 2) + -4x 19 + 5x = (20 + 2x) + -4x Combine like terms: 2x + -4x = -2x 19 + 5x = 20 + -2x Solving 19 + 5x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 19 + 5x + 2x = 20 + -2x + 2x Combine like terms: 5x + 2x = 7x 19 + 7x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 7x = 20 + 0 19 + 7x = 20 Add '-19' to each side of the equation. 19 + -19 + 7x = 20 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 20 + -19 7x = 20 + -19 Combine like terms: 20 + -19 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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