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Simplifying 0.7(2.78 + 4x) = 3.3x (2.78 * 0.7 + 4x * 0.7) = 3.3x (1.946 + 2.8x) = 3.3x Solving 1.946 + 2.8x = 3.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.3x' to each side of the equation. 1.946 + 2.8x + -3.3x = 3.3x + -3.3x Combine like terms: 2.8x + -3.3x = -0.5x 1.946 + -0.5x = 3.3x + -3.3x Combine like terms: 3.3x + -3.3x = 0.0 1.946 + -0.5x = 0.0 Add '-1.946' to each side of the equation. 1.946 + -1.946 + -0.5x = 0.0 + -1.946 Combine like terms: 1.946 + -1.946 = 0.000 0.000 + -0.5x = 0.0 + -1.946 -0.5x = 0.0 + -1.946 Combine like terms: 0.0 + -1.946 = -1.946 -0.5x = -1.946 Divide each side by '-0.5'. x = 3.892 Simplifying x = 3.892
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