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Simplifying 0.4x(0.5 + -0.3) + 7(0.6x + -0.3) = 1.7 Combine like terms: 0.5 + -0.3 = 0.2 0.4x(0.2) + 7(0.6x + -0.3) = 1.7 Reorder the terms for easier multiplication: 0.4 * 0.2x + 7(0.6x + -0.3) = 1.7 Multiply 0.4 * 0.2 0.08x + 7(0.6x + -0.3) = 1.7 Reorder the terms: 0.08x + 7(-0.3 + 0.6x) = 1.7 0.08x + (-0.3 * 7 + 0.6x * 7) = 1.7 0.08x + (-2.1 + 4.2x) = 1.7 Reorder the terms: -2.1 + 0.08x + 4.2x = 1.7 Combine like terms: 0.08x + 4.2x = 4.28x -2.1 + 4.28x = 1.7 Solving -2.1 + 4.28x = 1.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.1' to each side of the equation. -2.1 + 2.1 + 4.28x = 1.7 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 4.28x = 1.7 + 2.1 4.28x = 1.7 + 2.1 Combine like terms: 1.7 + 2.1 = 3.8 4.28x = 3.8 Divide each side by '4.28'. x = 0.8878504673 Simplifying x = 0.8878504673
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