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Simplifying 7x + -1(6x + 9) = 2x + -42 Reorder the terms: 7x + -1(9 + 6x) = 2x + -42 7x + (9 * -1 + 6x * -1) = 2x + -42 7x + (-9 + -6x) = 2x + -42 Reorder the terms: -9 + 7x + -6x = 2x + -42 Combine like terms: 7x + -6x = 1x -9 + 1x = 2x + -42 Reorder the terms: -9 + 1x = -42 + 2x Solving -9 + 1x = -42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 1x + -2x = -42 + 2x + -2x Combine like terms: 1x + -2x = -1x -9 + -1x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -1x = -42 + 0 -9 + -1x = -42 Add '9' to each side of the equation. -9 + 9 + -1x = -42 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -42 + 9 -1x = -42 + 9 Combine like terms: -42 + 9 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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