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Simplifying 33 + 8x = -8 + -1(1 + 6x) 33 + 8x = -8 + (1 * -1 + 6x * -1) 33 + 8x = -8 + (-1 + -6x) Combine like terms: -8 + -1 = -9 33 + 8x = -9 + -6x Solving 33 + 8x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 33 + 8x + 6x = -9 + -6x + 6x Combine like terms: 8x + 6x = 14x 33 + 14x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 33 + 14x = -9 + 0 33 + 14x = -9 Add '-33' to each side of the equation. 33 + -33 + 14x = -9 + -33 Combine like terms: 33 + -33 = 0 0 + 14x = -9 + -33 14x = -9 + -33 Combine like terms: -9 + -33 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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