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Simplifying 4.1x + -1(2.3x + 4.2) = 7.9x + -12.6 Reorder the terms: 4.1x + -1(4.2 + 2.3x) = 7.9x + -12.6 4.1x + (4.2 * -1 + 2.3x * -1) = 7.9x + -12.6 4.1x + (-4.2 + -2.3x) = 7.9x + -12.6 Reorder the terms: -4.2 + 4.1x + -2.3x = 7.9x + -12.6 Combine like terms: 4.1x + -2.3x = 1.8x -4.2 + 1.8x = 7.9x + -12.6 Reorder the terms: -4.2 + 1.8x = -12.6 + 7.9x Solving -4.2 + 1.8x = -12.6 + 7.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.9x' to each side of the equation. -4.2 + 1.8x + -7.9x = -12.6 + 7.9x + -7.9x Combine like terms: 1.8x + -7.9x = -6.1x -4.2 + -6.1x = -12.6 + 7.9x + -7.9x Combine like terms: 7.9x + -7.9x = 0.0 -4.2 + -6.1x = -12.6 + 0.0 -4.2 + -6.1x = -12.6 Add '4.2' to each side of the equation. -4.2 + 4.2 + -6.1x = -12.6 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -6.1x = -12.6 + 4.2 -6.1x = -12.6 + 4.2 Combine like terms: -12.6 + 4.2 = -8.4 -6.1x = -8.4 Divide each side by '-6.1'. x = 1.37704918 Simplifying x = 1.37704918
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