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Simplifying 10(9 + 2x) = 33(x + -2) (9 * 10 + 2x * 10) = 33(x + -2) (90 + 20x) = 33(x + -2) Reorder the terms: 90 + 20x = 33(-2 + x) 90 + 20x = (-2 * 33 + x * 33) 90 + 20x = (-66 + 33x) Solving 90 + 20x = -66 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 90 + 20x + -33x = -66 + 33x + -33x Combine like terms: 20x + -33x = -13x 90 + -13x = -66 + 33x + -33x Combine like terms: 33x + -33x = 0 90 + -13x = -66 + 0 90 + -13x = -66 Add '-90' to each side of the equation. 90 + -90 + -13x = -66 + -90 Combine like terms: 90 + -90 = 0 0 + -13x = -66 + -90 -13x = -66 + -90 Combine like terms: -66 + -90 = -156 -13x = -156 Divide each side by '-13'. x = 12 Simplifying x = 12
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