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Simplifying -5 + 7(7x + 3) = -42 + -9x Reorder the terms: -5 + 7(3 + 7x) = -42 + -9x -5 + (3 * 7 + 7x * 7) = -42 + -9x -5 + (21 + 49x) = -42 + -9x Combine like terms: -5 + 21 = 16 16 + 49x = -42 + -9x Solving 16 + 49x = -42 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 16 + 49x + 9x = -42 + -9x + 9x Combine like terms: 49x + 9x = 58x 16 + 58x = -42 + -9x + 9x Combine like terms: -9x + 9x = 0 16 + 58x = -42 + 0 16 + 58x = -42 Add '-16' to each side of the equation. 16 + -16 + 58x = -42 + -16 Combine like terms: 16 + -16 = 0 0 + 58x = -42 + -16 58x = -42 + -16 Combine like terms: -42 + -16 = -58 58x = -58 Divide each side by '58'. x = -1 Simplifying x = -1
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