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Simplifying 0.2(10x + 10) + -11 = -0.5(18x + -8) Reorder the terms: 0.2(10 + 10x) + -11 = -0.5(18x + -8) (10 * 0.2 + 10x * 0.2) + -11 = -0.5(18x + -8) (2 + 2x) + -11 = -0.5(18x + -8) Reorder the terms: 2 + -11 + 2x = -0.5(18x + -8) Combine like terms: 2 + -11 = -9 -9 + 2x = -0.5(18x + -8) Reorder the terms: -9 + 2x = -0.5(-8 + 18x) -9 + 2x = (-8 * -0.5 + 18x * -0.5) -9 + 2x = (4 + -9x) Solving -9 + 2x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -9 + 2x + 9x = 4 + -9x + 9x Combine like terms: 2x + 9x = 11x -9 + 11x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 -9 + 11x = 4 + 0 -9 + 11x = 4 Add '9' to each side of the equation. -9 + 9 + 11x = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 4 + 9 11x = 4 + 9 Combine like terms: 4 + 9 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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