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Simplifying 0.24x + -0.38(x + 2) = 0.34(x + 4) Reorder the terms: 0.24x + -0.38(2 + x) = 0.34(x + 4) 0.24x + (2 * -0.38 + x * -0.38) = 0.34(x + 4) 0.24x + (-0.76 + -0.38x) = 0.34(x + 4) Reorder the terms: -0.76 + 0.24x + -0.38x = 0.34(x + 4) Combine like terms: 0.24x + -0.38x = -0.14x -0.76 + -0.14x = 0.34(x + 4) Reorder the terms: -0.76 + -0.14x = 0.34(4 + x) -0.76 + -0.14x = (4 * 0.34 + x * 0.34) -0.76 + -0.14x = (1.36 + 0.34x) Solving -0.76 + -0.14x = 1.36 + 0.34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.34x' to each side of the equation. -0.76 + -0.14x + -0.34x = 1.36 + 0.34x + -0.34x Combine like terms: -0.14x + -0.34x = -0.48x -0.76 + -0.48x = 1.36 + 0.34x + -0.34x Combine like terms: 0.34x + -0.34x = 0.00 -0.76 + -0.48x = 1.36 + 0.00 -0.76 + -0.48x = 1.36 Add '0.76' to each side of the equation. -0.76 + 0.76 + -0.48x = 1.36 + 0.76 Combine like terms: -0.76 + 0.76 = 0.00 0.00 + -0.48x = 1.36 + 0.76 -0.48x = 1.36 + 0.76 Combine like terms: 1.36 + 0.76 = 2.12 -0.48x = 2.12 Divide each side by '-0.48'. x = -4.416666667 Simplifying x = -4.416666667
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