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