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Simplifying 0.6(x + -0.1) + -0.5(x + 4) = 0.34 Reorder the terms: 0.6(-0.1 + x) + -0.5(x + 4) = 0.34 (-0.1 * 0.6 + x * 0.6) + -0.5(x + 4) = 0.34 (-0.06 + 0.6x) + -0.5(x + 4) = 0.34 Reorder the terms: -0.06 + 0.6x + -0.5(4 + x) = 0.34 -0.06 + 0.6x + (4 * -0.5 + x * -0.5) = 0.34 -0.06 + 0.6x + (-2 + -0.5x) = 0.34 Reorder the terms: -0.06 + -2 + 0.6x + -0.5x = 0.34 Combine like terms: -0.06 + -2 = -2.06 -2.06 + 0.6x + -0.5x = 0.34 Combine like terms: 0.6x + -0.5x = 0.1x -2.06 + 0.1x = 0.34 Solving -2.06 + 0.1x = 0.34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.06' to each side of the equation. -2.06 + 2.06 + 0.1x = 0.34 + 2.06 Combine like terms: -2.06 + 2.06 = 0.00 0.00 + 0.1x = 0.34 + 2.06 0.1x = 0.34 + 2.06 Combine like terms: 0.34 + 2.06 = 2.4 0.1x = 2.4 Divide each side by '0.1'. x = 24 Simplifying x = 24
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