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Simplifying -5(2x + -7) + 3x = 42 Reorder the terms: -5(-7 + 2x) + 3x = 42 (-7 * -5 + 2x * -5) + 3x = 42 (35 + -10x) + 3x = 42 Combine like terms: -10x + 3x = -7x 35 + -7x = 42 Solving 35 + -7x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -7x = 42 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = 42 + -35 -7x = 42 + -35 Combine like terms: 42 + -35 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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