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Simplifying 6 + -1x = 0.3(9x + -18) Reorder the terms: 6 + -1x = 0.3(-18 + 9x) 6 + -1x = (-18 * 0.3 + 9x * 0.3) 6 + -1x = (-5.4 + 2.7x) Solving 6 + -1x = -5.4 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 6 + -1x + -2.7x = -5.4 + 2.7x + -2.7x Combine like terms: -1x + -2.7x = -3.7x 6 + -3.7x = -5.4 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 6 + -3.7x = -5.4 + 0.0 6 + -3.7x = -5.4 Add '-6' to each side of the equation. 6 + -6 + -3.7x = -5.4 + -6 Combine like terms: 6 + -6 = 0 0 + -3.7x = -5.4 + -6 -3.7x = -5.4 + -6 Combine like terms: -5.4 + -6 = -11.4 -3.7x = -11.4 Divide each side by '-3.7'. x = 3.081081081 Simplifying x = 3.081081081
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