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Simplifying 5(2x + -7) + 42 = 3x + 2 Reorder the terms: 5(-7 + 2x) + 42 = 3x + 2 (-7 * 5 + 2x * 5) + 42 = 3x + 2 (-35 + 10x) + 42 = 3x + 2 Reorder the terms: -35 + 42 + 10x = 3x + 2 Combine like terms: -35 + 42 = 7 7 + 10x = 3x + 2 Reorder the terms: 7 + 10x = 2 + 3x Solving 7 + 10x = 2 + 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 = 2 + 3x + -3x Combine like terms: 10x + -3x = 7x 7 + 7x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 7x = 2 + 0 7 + 7x = 2 Add '-7' to each side of the equation. 7 + -7 + 7x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 2 + -7 7x = 2 + -7 Combine like terms: 2 + -7 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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