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Simplifying 10(5x + -3) + 2 = 4x + -8 Reorder the terms: 10(-3 + 5x) + 2 = 4x + -8 (-3 * 10 + 5x * 10) + 2 = 4x + -8 (-30 + 50x) + 2 = 4x + -8 Reorder the terms: -30 + 2 + 50x = 4x + -8 Combine like terms: -30 + 2 = -28 -28 + 50x = 4x + -8 Reorder the terms: -28 + 50x = -8 + 4x Solving -28 + 50x = -8 + 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. -28 + 50x + -4x = -8 + 4x + -4x Combine like terms: 50x + -4x = 46x -28 + 46x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 46x = -8 + 0 -28 + 46x = -8 Add '28' to each side of the equation. -28 + 28 + 46x = -8 + 28 Combine like terms: -28 + 28 = 0 0 + 46x = -8 + 28 46x = -8 + 28 Combine like terms: -8 + 28 = 20 46x = 20 Divide each side by '46'. x = 0.4347826087 Simplifying x = 0.4347826087
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