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Simplifying 0.33(5x + 6) + -0.5(x + 5) = 3 Reorder the terms: 0.33(6 + 5x) + -0.5(x + 5) = 3 (6 * 0.33 + 5x * 0.33) + -0.5(x + 5) = 3 (1.98 + 1.65x) + -0.5(x + 5) = 3 Reorder the terms: 1.98 + 1.65x + -0.5(5 + x) = 3 1.98 + 1.65x + (5 * -0.5 + x * -0.5) = 3 1.98 + 1.65x + (-2.5 + -0.5x) = 3 Reorder the terms: 1.98 + -2.5 + 1.65x + -0.5x = 3 Combine like terms: 1.98 + -2.5 = -0.52 -0.52 + 1.65x + -0.5x = 3 Combine like terms: 1.65x + -0.5x = 1.15x -0.52 + 1.15x = 3 Solving -0.52 + 1.15x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.52' to each side of the equation. -0.52 + 0.52 + 1.15x = 3 + 0.52 Combine like terms: -0.52 + 0.52 = 0.00 0.00 + 1.15x = 3 + 0.52 1.15x = 3 + 0.52 Combine like terms: 3 + 0.52 = 3.52 1.15x = 3.52 Divide each side by '1.15'. x = 3.060869565 Simplifying x = 3.060869565
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