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Simplifying 0.3(x + -7.538) = -5.1x + -6.5814 Reorder the terms: 0.3(-7.538 + x) = -5.1x + -6.5814 (-7.538 * 0.3 + x * 0.3) = -5.1x + -6.5814 (-2.2614 + 0.3x) = -5.1x + -6.5814 Reorder the terms: -2.2614 + 0.3x = -6.5814 + -5.1x Solving -2.2614 + 0.3x = -6.5814 + -5.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.1x' to each side of the equation. -2.2614 + 0.3x + 5.1x = -6.5814 + -5.1x + 5.1x Combine like terms: 0.3x + 5.1x = 5.4x -2.2614 + 5.4x = -6.5814 + -5.1x + 5.1x Combine like terms: -5.1x + 5.1x = 0.0 -2.2614 + 5.4x = -6.5814 + 0.0 -2.2614 + 5.4x = -6.5814 Add '2.2614' to each side of the equation. -2.2614 + 2.2614 + 5.4x = -6.5814 + 2.2614 Combine like terms: -2.2614 + 2.2614 = 0.0000 0.0000 + 5.4x = -6.5814 + 2.2614 5.4x = -6.5814 + 2.2614 Combine like terms: -6.5814 + 2.2614 = -4.32 5.4x = -4.32 Divide each side by '5.4'. x = -0.8 Simplifying x = -0.8
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