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Simplifying 0.18 + -1(3x + 5) = 5(x + -1) + -6 Reorder the terms: 0.18 + -1(5 + 3x) = 5(x + -1) + -6 0.18 + (5 * -1 + 3x * -1) = 5(x + -1) + -6 0.18 + (-5 + -3x) = 5(x + -1) + -6 Combine like terms: 0.18 + -5 = -4.82 -4.82 + -3x = 5(x + -1) + -6 Reorder the terms: -4.82 + -3x = 5(-1 + x) + -6 -4.82 + -3x = (-1 * 5 + x * 5) + -6 -4.82 + -3x = (-5 + 5x) + -6 Reorder the terms: -4.82 + -3x = -5 + -6 + 5x Combine like terms: -5 + -6 = -11 -4.82 + -3x = -11 + 5x Solving -4.82 + -3x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4.82 + -3x + -5x = -11 + 5x + -5x Combine like terms: -3x + -5x = -8x -4.82 + -8x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -4.82 + -8x = -11 + 0 -4.82 + -8x = -11 Add '4.82' to each side of the equation. -4.82 + 4.82 + -8x = -11 + 4.82 Combine like terms: -4.82 + 4.82 = 0.00 0.00 + -8x = -11 + 4.82 -8x = -11 + 4.82 Combine like terms: -11 + 4.82 = -6.18 -8x = -6.18 Divide each side by '-8'. x = 0.7725 Simplifying x = 0.7725
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