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Simplifying 0.14285714285(3x + 2) + -0.2(x + 4) = 2 Reorder the terms: 0.14285714285(2 + 3x) + -0.2(x + 4) = 2 (2 * 0.14285714285 + 3x * 0.14285714285) + -0.2(x + 4) = 2 (0.2857142857 + 0.4285714286x) + -0.2(x + 4) = 2 Reorder the terms: 0.2857142857 + 0.4285714286x + -0.2(4 + x) = 2 0.2857142857 + 0.4285714286x + (4 * -0.2 + x * -0.2) = 2 0.2857142857 + 0.4285714286x + (-0.8 + -0.2x) = 2 Reorder the terms: 0.2857142857 + -0.8 + 0.4285714286x + -0.2x = 2 Combine like terms: 0.2857142857 + -0.8 = -0.5142857143 -0.5142857143 + 0.4285714286x + -0.2x = 2 Combine like terms: 0.4285714286x + -0.2x = 0.2285714286x -0.5142857143 + 0.2285714286x = 2 Solving -0.5142857143 + 0.2285714286x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5142857143' to each side of the equation. -0.5142857143 + 0.5142857143 + 0.2285714286x = 2 + 0.5142857143 Combine like terms: -0.5142857143 + 0.5142857143 = 0.0000000000 0.0000000000 + 0.2285714286x = 2 + 0.5142857143 0.2285714286x = 2 + 0.5142857143 Combine like terms: 2 + 0.5142857143 = 2.5142857143 0.2285714286x = 2.5142857143 Divide each side by '0.2285714286'. x = 11 Simplifying x = 11
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