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Simplifying 4(5x + 10) + -3x + 2 = 0 Reorder the terms: 4(10 + 5x) + -3x + 2 = 0 (10 * 4 + 5x * 4) + -3x + 2 = 0 (40 + 20x) + -3x + 2 = 0 Reorder the terms: 40 + 2 + 20x + -3x = 0 Combine like terms: 40 + 2 = 42 42 + 20x + -3x = 0 Combine like terms: 20x + -3x = 17x 42 + 17x = 0 Solving 42 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 17x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 17x = 0 + -42 17x = 0 + -42 Combine like terms: 0 + -42 = -42 17x = -42 Divide each side by '17'. x = -2.470588235 Simplifying x = -2.470588235
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