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Simplifying 5(2x + -7) + 42 + -3x = 8 Reorder the terms: 5(-7 + 2x) + 42 + -3x = 8 (-7 * 5 + 2x * 5) + 42 + -3x = 8 (-35 + 10x) + 42 + -3x = 8 Reorder the terms: -35 + 42 + 10x + -3x = 8 Combine like terms: -35 + 42 = 7 7 + 10x + -3x = 8 Combine like terms: 10x + -3x = 7x 7 + 7x = 8 Solving 7 + 7x = 8 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 + 7x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 8 + -7 7x = 8 + -7 Combine like terms: 8 + -7 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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