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Simplifying 5 + 0.33(6x + 9) = -1(x + -4) Reorder the terms: 5 + 0.33(9 + 6x) = -1(x + -4) 5 + (9 * 0.33 + 6x * 0.33) = -1(x + -4) 5 + (2.97 + 1.98x) = -1(x + -4) Combine like terms: 5 + 2.97 = 7.97 7.97 + 1.98x = -1(x + -4) Reorder the terms: 7.97 + 1.98x = -1(-4 + x) 7.97 + 1.98x = (-4 * -1 + x * -1) 7.97 + 1.98x = (4 + -1x) Solving 7.97 + 1.98x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7.97 + 1.98x + x = 4 + -1x + x Combine like terms: 1.98x + x = 2.98x 7.97 + 2.98x = 4 + -1x + x Combine like terms: -1x + x = 0 7.97 + 2.98x = 4 + 0 7.97 + 2.98x = 4 Add '-7.97' to each side of the equation. 7.97 + -7.97 + 2.98x = 4 + -7.97 Combine like terms: 7.97 + -7.97 = 0.00 0.00 + 2.98x = 4 + -7.97 2.98x = 4 + -7.97 Combine like terms: 4 + -7.97 = -3.97 2.98x = -3.97 Divide each side by '2.98'. x = -1.332214765 Simplifying x = -1.332214765
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