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Simplifying 0.33(6x + -15) = 0.5(10x + -4) Reorder the terms: 0.33(-15 + 6x) = 0.5(10x + -4) (-15 * 0.33 + 6x * 0.33) = 0.5(10x + -4) (-4.95 + 1.98x) = 0.5(10x + -4) Reorder the terms: -4.95 + 1.98x = 0.5(-4 + 10x) -4.95 + 1.98x = (-4 * 0.5 + 10x * 0.5) -4.95 + 1.98x = (-2 + 5x) Solving -4.95 + 1.98x = -2 + 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. -4.95 + 1.98x + -5x = -2 + 5x + -5x Combine like terms: 1.98x + -5x = -3.02x -4.95 + -3.02x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -4.95 + -3.02x = -2 + 0 -4.95 + -3.02x = -2 Add '4.95' to each side of the equation. -4.95 + 4.95 + -3.02x = -2 + 4.95 Combine like terms: -4.95 + 4.95 = 0.00 0.00 + -3.02x = -2 + 4.95 -3.02x = -2 + 4.95 Combine like terms: -2 + 4.95 = 2.95 -3.02x = 2.95 Divide each side by '-3.02'. x = -0.9768211921 Simplifying x = -0.9768211921
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