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Simplifying -0.16(x + -18) + 0.33(x + 3) = x + 9 Reorder the terms: -0.16(-18 + x) + 0.33(x + 3) = x + 9 (-18 * -0.16 + x * -0.16) + 0.33(x + 3) = x + 9 (2.88 + -0.16x) + 0.33(x + 3) = x + 9 Reorder the terms: 2.88 + -0.16x + 0.33(3 + x) = x + 9 2.88 + -0.16x + (3 * 0.33 + x * 0.33) = x + 9 2.88 + -0.16x + (0.99 + 0.33x) = x + 9 Reorder the terms: 2.88 + 0.99 + -0.16x + 0.33x = x + 9 Combine like terms: 2.88 + 0.99 = 3.87 3.87 + -0.16x + 0.33x = x + 9 Combine like terms: -0.16x + 0.33x = 0.17x 3.87 + 0.17x = x + 9 Reorder the terms: 3.87 + 0.17x = 9 + x Solving 3.87 + 0.17x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.87 + 0.17x + -1x = 9 + x + -1x Combine like terms: 0.17x + -1x = -0.83x 3.87 + -0.83x = 9 + x + -1x Combine like terms: x + -1x = 0 3.87 + -0.83x = 9 + 0 3.87 + -0.83x = 9 Add '-3.87' to each side of the equation. 3.87 + -3.87 + -0.83x = 9 + -3.87 Combine like terms: 3.87 + -3.87 = 0.00 0.00 + -0.83x = 9 + -3.87 -0.83x = 9 + -3.87 Combine like terms: 9 + -3.87 = 5.13 -0.83x = 5.13 Divide each side by '-0.83'. x = -6.180722892 Simplifying x = -6.180722892
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