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Simplifying 0.4(-12.42 + 6x) = 3.1x (-12.42 * 0.4 + 6x * 0.4) = 3.1x (-4.968 + 2.4x) = 3.1x Solving -4.968 + 2.4x = 3.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1x' to each side of the equation. -4.968 + 2.4x + -3.1x = 3.1x + -3.1x Combine like terms: 2.4x + -3.1x = -0.7x -4.968 + -0.7x = 3.1x + -3.1x Combine like terms: 3.1x + -3.1x = 0.0 -4.968 + -0.7x = 0.0 Add '4.968' to each side of the equation. -4.968 + 4.968 + -0.7x = 0.0 + 4.968 Combine like terms: -4.968 + 4.968 = 0.000 0.000 + -0.7x = 0.0 + 4.968 -0.7x = 0.0 + 4.968 Combine like terms: 0.0 + 4.968 = 4.968 -0.7x = 4.968 Divide each side by '-0.7'. x = -7.097142857 Simplifying x = -7.097142857
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