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Simplifying 3(x + -0.6) = 2(3x + -9) Reorder the terms: 3(-0.6 + x) = 2(3x + -9) (-0.6 * 3 + x * 3) = 2(3x + -9) (-1.8 + 3x) = 2(3x + -9) Reorder the terms: -1.8 + 3x = 2(-9 + 3x) -1.8 + 3x = (-9 * 2 + 3x * 2) -1.8 + 3x = (-18 + 6x) Solving -1.8 + 3x = -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. -1.8 + 3x + -6x = -18 + 6x + -6x Combine like terms: 3x + -6x = -3x -1.8 + -3x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -1.8 + -3x = -18 + 0 -1.8 + -3x = -18 Add '1.8' to each side of the equation. -1.8 + 1.8 + -3x = -18 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -3x = -18 + 1.8 -3x = -18 + 1.8 Combine like terms: -18 + 1.8 = -16.2 -3x = -16.2 Divide each side by '-3'. x = 5.4 Simplifying x = 5.4
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