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Simplifying 33 + 2x = 1 + -1(6x + 8) Reorder the terms: 33 + 2x = 1 + -1(8 + 6x) 33 + 2x = 1 + (8 * -1 + 6x * -1) 33 + 2x = 1 + (-8 + -6x) Combine like terms: 1 + -8 = -7 33 + 2x = -7 + -6x Solving 33 + 2x = -7 + -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 + 2x + 6x = -7 + -6x + 6x Combine like terms: 2x + 6x = 8x 33 + 8x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 33 + 8x = -7 + 0 33 + 8x = -7 Add '-33' to each side of the equation. 33 + -33 + 8x = -7 + -33 Combine like terms: 33 + -33 = 0 0 + 8x = -7 + -33 8x = -7 + -33 Combine like terms: -7 + -33 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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