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Simplifying 3.24x + -0.38(x + 2) = -0.34(x + 4) Reorder the terms: 3.24x + -0.38(2 + x) = -0.34(x + 4) 3.24x + (2 * -0.38 + x * -0.38) = -0.34(x + 4) 3.24x + (-0.76 + -0.38x) = -0.34(x + 4) Reorder the terms: -0.76 + 3.24x + -0.38x = -0.34(x + 4) Combine like terms: 3.24x + -0.38x = 2.86x -0.76 + 2.86x = -0.34(x + 4) Reorder the terms: -0.76 + 2.86x = -0.34(4 + x) -0.76 + 2.86x = (4 * -0.34 + x * -0.34) -0.76 + 2.86x = (-1.36 + -0.34x) Solving -0.76 + 2.86x = -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 + 2.86x + 0.34x = -1.36 + -0.34x + 0.34x Combine like terms: 2.86x + 0.34x = 3.2x -0.76 + 3.2x = -1.36 + -0.34x + 0.34x Combine like terms: -0.34x + 0.34x = 0.00 -0.76 + 3.2x = -1.36 + 0.00 -0.76 + 3.2x = -1.36 Add '0.76' to each side of the equation. -0.76 + 0.76 + 3.2x = -1.36 + 0.76 Combine like terms: -0.76 + 0.76 = 0.00 0.00 + 3.2x = -1.36 + 0.76 3.2x = -1.36 + 0.76 Combine like terms: -1.36 + 0.76 = -0.6 3.2x = -0.6 Divide each side by '3.2'. x = -0.1875 Simplifying x = -0.1875
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