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Simplifying -0.11(3x + 5) = 0.37(2x + -1) Reorder the terms: -0.11(5 + 3x) = 0.37(2x + -1) (5 * -0.11 + 3x * -0.11) = 0.37(2x + -1) (-0.55 + -0.33x) = 0.37(2x + -1) Reorder the terms: -0.55 + -0.33x = 0.37(-1 + 2x) -0.55 + -0.33x = (-1 * 0.37 + 2x * 0.37) -0.55 + -0.33x = (-0.37 + 0.74x) Solving -0.55 + -0.33x = -0.37 + 0.74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.74x' to each side of the equation. -0.55 + -0.33x + -0.74x = -0.37 + 0.74x + -0.74x Combine like terms: -0.33x + -0.74x = -1.07x -0.55 + -1.07x = -0.37 + 0.74x + -0.74x Combine like terms: 0.74x + -0.74x = 0.00 -0.55 + -1.07x = -0.37 + 0.00 -0.55 + -1.07x = -0.37 Add '0.55' to each side of the equation. -0.55 + 0.55 + -1.07x = -0.37 + 0.55 Combine like terms: -0.55 + 0.55 = 0.00 0.00 + -1.07x = -0.37 + 0.55 -1.07x = -0.37 + 0.55 Combine like terms: -0.37 + 0.55 = 0.18 -1.07x = 0.18 Divide each side by '-1.07'. x = -0.1682242991 Simplifying x = -0.1682242991
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