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Simplifying -7(x + 9) = 8x + 42 Reorder the terms: -7(9 + x) = 8x + 42 (9 * -7 + x * -7) = 8x + 42 (-63 + -7x) = 8x + 42 Reorder the terms: -63 + -7x = 42 + 8x Solving -63 + -7x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -63 + -7x + -8x = 42 + 8x + -8x Combine like terms: -7x + -8x = -15x -63 + -15x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 -63 + -15x = 42 + 0 -63 + -15x = 42 Add '63' to each side of the equation. -63 + 63 + -15x = 42 + 63 Combine like terms: -63 + 63 = 0 0 + -15x = 42 + 63 -15x = 42 + 63 Combine like terms: 42 + 63 = 105 -15x = 105 Divide each side by '-15'. x = -7 Simplifying x = -7
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