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Simplifying 0.6(x + -2) = 0.3(4x + 5) Reorder the terms: 0.6(-2 + x) = 0.3(4x + 5) (-2 * 0.6 + x * 0.6) = 0.3(4x + 5) (-1.2 + 0.6x) = 0.3(4x + 5) Reorder the terms: -1.2 + 0.6x = 0.3(5 + 4x) -1.2 + 0.6x = (5 * 0.3 + 4x * 0.3) -1.2 + 0.6x = (1.5 + 1.2x) Solving -1.2 + 0.6x = 1.5 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -1.2 + 0.6x + -1.2x = 1.5 + 1.2x + -1.2x Combine like terms: 0.6x + -1.2x = -0.6x -1.2 + -0.6x = 1.5 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -1.2 + -0.6x = 1.5 + 0.0 -1.2 + -0.6x = 1.5 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.6x = 1.5 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.6x = 1.5 + 1.2 -0.6x = 1.5 + 1.2 Combine like terms: 1.5 + 1.2 = 2.7 -0.6x = 2.7 Divide each side by '-0.6'. x = -4.5 Simplifying x = -4.5
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