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Simplifying 2.4(x + -0.1) + -0.26 = 2.4 + -0.4 Reorder the terms: 2.4(-0.1 + x) + -0.26 = 2.4 + -0.4 (-0.1 * 2.4 + x * 2.4) + -0.26 = 2.4 + -0.4 (-0.24 + 2.4x) + -0.26 = 2.4 + -0.4 Reorder the terms: -0.24 + -0.26 + 2.4x = 2.4 + -0.4 Combine like terms: -0.24 + -0.26 = -0.5 -0.5 + 2.4x = 2.4 + -0.4 Combine like terms: 2.4 + -0.4 = 2 -0.5 + 2.4x = 2 Solving -0.5 + 2.4x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 2.4x = 2 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2.4x = 2 + 0.5 2.4x = 2 + 0.5 Combine like terms: 2 + 0.5 = 2.5 2.4x = 2.5 Divide each side by '2.4'. x = 1.041666667 Simplifying x = 1.041666667
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