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Simplifying 0.3(9x + -12) = 6x + -18 Reorder the terms: 0.3(-12 + 9x) = 6x + -18 (-12 * 0.3 + 9x * 0.3) = 6x + -18 (-3.6 + 2.7x) = 6x + -18 Reorder the terms: -3.6 + 2.7x = -18 + 6x Solving -3.6 + 2.7x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3.6 + 2.7x + -6x = -18 + 6x + -6x Combine like terms: 2.7x + -6x = -3.3x -3.6 + -3.3x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -3.6 + -3.3x = -18 + 0 -3.6 + -3.3x = -18 Add '3.6' to each side of the equation. -3.6 + 3.6 + -3.3x = -18 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -3.3x = -18 + 3.6 -3.3x = -18 + 3.6 Combine like terms: -18 + 3.6 = -14.4 -3.3x = -14.4 Divide each side by '-3.3'. x = 4.363636364 Simplifying x = 4.363636364
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