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Simplifying 3.1x + 4(2x + -3) = 4.2(2.1x + -6) + 5 Reorder the terms: 3.1x + 4(-3 + 2x) = 4.2(2.1x + -6) + 5 3.1x + (-3 * 4 + 2x * 4) = 4.2(2.1x + -6) + 5 3.1x + (-12 + 8x) = 4.2(2.1x + -6) + 5 Reorder the terms: -12 + 3.1x + 8x = 4.2(2.1x + -6) + 5 Combine like terms: 3.1x + 8x = 11.1x -12 + 11.1x = 4.2(2.1x + -6) + 5 Reorder the terms: -12 + 11.1x = 4.2(-6 + 2.1x) + 5 -12 + 11.1x = (-6 * 4.2 + 2.1x * 4.2) + 5 -12 + 11.1x = (-25.2 + 8.82x) + 5 Reorder the terms: -12 + 11.1x = -25.2 + 5 + 8.82x Combine like terms: -25.2 + 5 = -20.2 -12 + 11.1x = -20.2 + 8.82x Solving -12 + 11.1x = -20.2 + 8.82x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.82x' to each side of the equation. -12 + 11.1x + -8.82x = -20.2 + 8.82x + -8.82x Combine like terms: 11.1x + -8.82x = 2.28x -12 + 2.28x = -20.2 + 8.82x + -8.82x Combine like terms: 8.82x + -8.82x = 0.00 -12 + 2.28x = -20.2 + 0.00 -12 + 2.28x = -20.2 Add '12' to each side of the equation. -12 + 12 + 2.28x = -20.2 + 12 Combine like terms: -12 + 12 = 0 0 + 2.28x = -20.2 + 12 2.28x = -20.2 + 12 Combine like terms: -20.2 + 12 = -8.2 2.28x = -8.2 Divide each side by '2.28'. x = -3.596491228 Simplifying x = -3.596491228
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