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Simplifying -7(1 + -1x) = 5(3x + 3) + 3x (1 * -7 + -1x * -7) = 5(3x + 3) + 3x (-7 + 7x) = 5(3x + 3) + 3x Reorder the terms: -7 + 7x = 5(3 + 3x) + 3x -7 + 7x = (3 * 5 + 3x * 5) + 3x -7 + 7x = (15 + 15x) + 3x Combine like terms: 15x + 3x = 18x -7 + 7x = 15 + 18x Solving -7 + 7x = 15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -7 + 7x + -18x = 15 + 18x + -18x Combine like terms: 7x + -18x = -11x -7 + -11x = 15 + 18x + -18x Combine like terms: 18x + -18x = 0 -7 + -11x = 15 + 0 -7 + -11x = 15 Add '7' to each side of the equation. -7 + 7 + -11x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -11x = 15 + 7 -11x = 15 + 7 Combine like terms: 15 + 7 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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