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Simplifying -0.17(x + 18) + 0.1(x + 9) = x + 1 Reorder the terms: -0.17(18 + x) + 0.1(x + 9) = x + 1 (18 * -0.17 + x * -0.17) + 0.1(x + 9) = x + 1 (-3.06 + -0.17x) + 0.1(x + 9) = x + 1 Reorder the terms: -3.06 + -0.17x + 0.1(9 + x) = x + 1 -3.06 + -0.17x + (9 * 0.1 + x * 0.1) = x + 1 -3.06 + -0.17x + (0.9 + 0.1x) = x + 1 Reorder the terms: -3.06 + 0.9 + -0.17x + 0.1x = x + 1 Combine like terms: -3.06 + 0.9 = -2.16 -2.16 + -0.17x + 0.1x = x + 1 Combine like terms: -0.17x + 0.1x = -0.07x -2.16 + -0.07x = x + 1 Reorder the terms: -2.16 + -0.07x = 1 + x Solving -2.16 + -0.07x = 1 + 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. -2.16 + -0.07x + -1x = 1 + x + -1x Combine like terms: -0.07x + -1x = -1.07x -2.16 + -1.07x = 1 + x + -1x Combine like terms: x + -1x = 0 -2.16 + -1.07x = 1 + 0 -2.16 + -1.07x = 1 Add '2.16' to each side of the equation. -2.16 + 2.16 + -1.07x = 1 + 2.16 Combine like terms: -2.16 + 2.16 = 0.00 0.00 + -1.07x = 1 + 2.16 -1.07x = 1 + 2.16 Combine like terms: 1 + 2.16 = 3.16 -1.07x = 3.16 Divide each side by '-1.07'. x = -2.953271028 Simplifying x = -2.953271028
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