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Simplifying 0.18x + 0.9(x + -1) = 0.1(2x + -5) Reorder the terms: 0.18x + 0.9(-1 + x) = 0.1(2x + -5) 0.18x + (-1 * 0.9 + x * 0.9) = 0.1(2x + -5) 0.18x + (-0.9 + 0.9x) = 0.1(2x + -5) Reorder the terms: -0.9 + 0.18x + 0.9x = 0.1(2x + -5) Combine like terms: 0.18x + 0.9x = 1.08x -0.9 + 1.08x = 0.1(2x + -5) Reorder the terms: -0.9 + 1.08x = 0.1(-5 + 2x) -0.9 + 1.08x = (-5 * 0.1 + 2x * 0.1) -0.9 + 1.08x = (-0.5 + 0.2x) Solving -0.9 + 1.08x = -0.5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.9 + 1.08x + -0.2x = -0.5 + 0.2x + -0.2x Combine like terms: 1.08x + -0.2x = 0.88x -0.9 + 0.88x = -0.5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.9 + 0.88x = -0.5 + 0.0 -0.9 + 0.88x = -0.5 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.88x = -0.5 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.88x = -0.5 + 0.9 0.88x = -0.5 + 0.9 Combine like terms: -0.5 + 0.9 = 0.4 0.88x = 0.4 Divide each side by '0.88'. x = 0.4545454545 Simplifying x = 0.4545454545
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