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Simplifying -0.17(x + -18) + 0.30(x + 3) = x + 4 Reorder the terms: -0.17(-18 + x) + 0.30(x + 3) = x + 4 (-18 * -0.17 + x * -0.17) + 0.30(x + 3) = x + 4 (3.06 + -0.17x) + 0.30(x + 3) = x + 4 Reorder the terms: 3.06 + -0.17x + 0.30(3 + x) = x + 4 3.06 + -0.17x + (3 * 0.30 + x * 0.30) = x + 4 3.06 + -0.17x + (0.9 + 0.30x) = x + 4 Reorder the terms: 3.06 + 0.9 + -0.17x + 0.30x = x + 4 Combine like terms: 3.06 + 0.9 = 3.96 3.96 + -0.17x + 0.30x = x + 4 Combine like terms: -0.17x + 0.30x = 0.13x 3.96 + 0.13x = x + 4 Reorder the terms: 3.96 + 0.13x = 4 + x Solving 3.96 + 0.13x = 4 + 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. 3.96 + 0.13x + -1x = 4 + x + -1x Combine like terms: 0.13x + -1x = -0.87x 3.96 + -0.87x = 4 + x + -1x Combine like terms: x + -1x = 0 3.96 + -0.87x = 4 + 0 3.96 + -0.87x = 4 Add '-3.96' to each side of the equation. 3.96 + -3.96 + -0.87x = 4 + -3.96 Combine like terms: 3.96 + -3.96 = 0.00 0.00 + -0.87x = 4 + -3.96 -0.87x = 4 + -3.96 Combine like terms: 4 + -3.96 = 0.04 -0.87x = 0.04 Divide each side by '-0.87'. x = -0.04597701149 Simplifying x = -0.04597701149
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