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Simplifying 9x + -1(3x + 7) = 7x + -42 Reorder the terms: 9x + -1(7 + 3x) = 7x + -42 9x + (7 * -1 + 3x * -1) = 7x + -42 9x + (-7 + -3x) = 7x + -42 Reorder the terms: -7 + 9x + -3x = 7x + -42 Combine like terms: 9x + -3x = 6x -7 + 6x = 7x + -42 Reorder the terms: -7 + 6x = -42 + 7x Solving -7 + 6x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 6x + -7x = -42 + 7x + -7x Combine like terms: 6x + -7x = -1x -7 + -1x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -1x = -42 + 0 -7 + -1x = -42 Add '7' to each side of the equation. -7 + 7 + -1x = -42 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -42 + 7 -1x = -42 + 7 Combine like terms: -42 + 7 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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