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Simplifying -0.9(x + 1) = 0.1(x + 9) Reorder the terms: -0.9(1 + x) = 0.1(x + 9) (1 * -0.9 + x * -0.9) = 0.1(x + 9) (-0.9 + -0.9x) = 0.1(x + 9) Reorder the terms: -0.9 + -0.9x = 0.1(9 + x) -0.9 + -0.9x = (9 * 0.1 + x * 0.1) -0.9 + -0.9x = (0.9 + 0.1x) Solving -0.9 + -0.9x = 0.9 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -0.9 + -0.9x + -0.1x = 0.9 + 0.1x + -0.1x Combine like terms: -0.9x + -0.1x = -1x -0.9 + -1x = 0.9 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.9 + -1x = 0.9 + 0.0 -0.9 + -1x = 0.9 Add '0.9' to each side of the equation. -0.9 + 0.9 + -1x = 0.9 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -1x = 0.9 + 0.9 -1x = 0.9 + 0.9 Combine like terms: 0.9 + 0.9 = 1.8 -1x = 1.8 Divide each side by '-1'. x = -1.8 Simplifying x = -1.8
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