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Simplifying 5(2x + -3) + 8 = 42 + -3x Reorder the terms: 5(-3 + 2x) + 8 = 42 + -3x (-3 * 5 + 2x * 5) + 8 = 42 + -3x (-15 + 10x) + 8 = 42 + -3x Reorder the terms: -15 + 8 + 10x = 42 + -3x Combine like terms: -15 + 8 = -7 -7 + 10x = 42 + -3x Solving -7 + 10x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 10x + 3x = 42 + -3x + 3x Combine like terms: 10x + 3x = 13x -7 + 13x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 13x = 42 + 0 -7 + 13x = 42 Add '7' to each side of the equation. -7 + 7 + 13x = 42 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 42 + 7 13x = 42 + 7 Combine like terms: 42 + 7 = 49 13x = 49 Divide each side by '13'. x = 3.769230769 Simplifying x = 3.769230769
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