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Simplifying 0.6(6x + -3) = 0.5(6x + -4) Reorder the terms: 0.6(-3 + 6x) = 0.5(6x + -4) (-3 * 0.6 + 6x * 0.6) = 0.5(6x + -4) (-1.8 + 3.6x) = 0.5(6x + -4) Reorder the terms: -1.8 + 3.6x = 0.5(-4 + 6x) -1.8 + 3.6x = (-4 * 0.5 + 6x * 0.5) -1.8 + 3.6x = (-2 + 3x) Solving -1.8 + 3.6x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.8 + 3.6x + -3x = -2 + 3x + -3x Combine like terms: 3.6x + -3x = 0.6x -1.8 + 0.6x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.8 + 0.6x = -2 + 0 -1.8 + 0.6x = -2 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.6x = -2 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.6x = -2 + 1.8 0.6x = -2 + 1.8 Combine like terms: -2 + 1.8 = -0.2 0.6x = -0.2 Divide each side by '0.6'. x = -0.3333333333 Simplifying x = -0.3333333333
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