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Simplifying 9(x + 10) = -6(1 + -7x) + -3 Reorder the terms: 9(10 + x) = -6(1 + -7x) + -3 (10 * 9 + x * 9) = -6(1 + -7x) + -3 (90 + 9x) = -6(1 + -7x) + -3 90 + 9x = (1 * -6 + -7x * -6) + -3 90 + 9x = (-6 + 42x) + -3 Reorder the terms: 90 + 9x = -6 + -3 + 42x Combine like terms: -6 + -3 = -9 90 + 9x = -9 + 42x Solving 90 + 9x = -9 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 90 + 9x + -42x = -9 + 42x + -42x Combine like terms: 9x + -42x = -33x 90 + -33x = -9 + 42x + -42x Combine like terms: 42x + -42x = 0 90 + -33x = -9 + 0 90 + -33x = -9 Add '-90' to each side of the equation. 90 + -90 + -33x = -9 + -90 Combine like terms: 90 + -90 = 0 0 + -33x = -9 + -90 -33x = -9 + -90 Combine like terms: -9 + -90 = -99 -33x = -99 Divide each side by '-33'. x = 3 Simplifying x = 3
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