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Simplifying 9x + -1(3x + 6) = 7x + -42 Reorder the terms: 9x + -1(6 + 3x) = 7x + -42 9x + (6 * -1 + 3x * -1) = 7x + -42 9x + (-6 + -3x) = 7x + -42 Reorder the terms: -6 + 9x + -3x = 7x + -42 Combine like terms: 9x + -3x = 6x -6 + 6x = 7x + -42 Reorder the terms: -6 + 6x = -42 + 7x Solving -6 + 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. -6 + 6x + -7x = -42 + 7x + -7x Combine like terms: 6x + -7x = -1x -6 + -1x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -1x = -42 + 0 -6 + -1x = -42 Add '6' to each side of the equation. -6 + 6 + -1x = -42 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -42 + 6 -1x = -42 + 6 Combine like terms: -42 + 6 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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