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Simplifying 7(1 + -2x) = -6x + -33 (1 * 7 + -2x * 7) = -6x + -33 (7 + -14x) = -6x + -33 Reorder the terms: 7 + -14x = -33 + -6x Solving 7 + -14x = -33 + -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. 7 + -14x + 6x = -33 + -6x + 6x Combine like terms: -14x + 6x = -8x 7 + -8x = -33 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + -8x = -33 + 0 7 + -8x = -33 Add '-7' to each side of the equation. 7 + -7 + -8x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = -33 + -7 -8x = -33 + -7 Combine like terms: -33 + -7 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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