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Simplifying 0.6(2 + -3x) = 1 + -0.3(x + -4) (2 * 0.6 + -3x * 0.6) = 1 + -0.3(x + -4) (1.2 + -1.8x) = 1 + -0.3(x + -4) Reorder the terms: 1.2 + -1.8x = 1 + -0.3(-4 + x) 1.2 + -1.8x = 1 + (-4 * -0.3 + x * -0.3) 1.2 + -1.8x = 1 + (1.2 + -0.3x) Combine like terms: 1 + 1.2 = 2.2 1.2 + -1.8x = 2.2 + -0.3x Solving 1.2 + -1.8x = 2.2 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 1.2 + -1.8x + 0.3x = 2.2 + -0.3x + 0.3x Combine like terms: -1.8x + 0.3x = -1.5x 1.2 + -1.5x = 2.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 1.2 + -1.5x = 2.2 + 0.0 1.2 + -1.5x = 2.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -1.5x = 2.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.5x = 2.2 + -1.2 -1.5x = 2.2 + -1.2 Combine like terms: 2.2 + -1.2 = 1 -1.5x = 1 Divide each side by '-1.5'. x = -0.6666666667 Simplifying x = -0.6666666667
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