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Simplifying 2.259(4x + -4) = -2 + 10x + 12 Reorder the terms: 2.259(-4 + 4x) = -2 + 10x + 12 (-4 * 2.259 + 4x * 2.259) = -2 + 10x + 12 (-9.036 + 9.036x) = -2 + 10x + 12 Reorder the terms: -9.036 + 9.036x = -2 + 12 + 10x Combine like terms: -2 + 12 = 10 -9.036 + 9.036x = 10 + 10x Solving -9.036 + 9.036x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -9.036 + 9.036x + -10x = 10 + 10x + -10x Combine like terms: 9.036x + -10x = -0.964x -9.036 + -0.964x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -9.036 + -0.964x = 10 + 0 -9.036 + -0.964x = 10 Add '9.036' to each side of the equation. -9.036 + 9.036 + -0.964x = 10 + 9.036 Combine like terms: -9.036 + 9.036 = 0.000 0.000 + -0.964x = 10 + 9.036 -0.964x = 10 + 9.036 Combine like terms: 10 + 9.036 = 19.036 -0.964x = 19.036 Divide each side by '-0.964'. x = -19.74688797 Simplifying x = -19.74688797
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