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Simplifying 0.4x + -0.5(2x + -1) = -0.3(x + 4) Reorder the terms: 0.4x + -0.5(-1 + 2x) = -0.3(x + 4) 0.4x + (-1 * -0.5 + 2x * -0.5) = -0.3(x + 4) 0.4x + (0.5 + -1x) = -0.3(x + 4) Reorder the terms: 0.5 + 0.4x + -1x = -0.3(x + 4) Combine like terms: 0.4x + -1x = -0.6x 0.5 + -0.6x = -0.3(x + 4) Reorder the terms: 0.5 + -0.6x = -0.3(4 + x) 0.5 + -0.6x = (4 * -0.3 + x * -0.3) 0.5 + -0.6x = (-1.2 + -0.3x) Solving 0.5 + -0.6x = -1.2 + -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. 0.5 + -0.6x + 0.3x = -1.2 + -0.3x + 0.3x Combine like terms: -0.6x + 0.3x = -0.3x 0.5 + -0.3x = -1.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 0.5 + -0.3x = -1.2 + 0.0 0.5 + -0.3x = -1.2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.3x = -1.2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.3x = -1.2 + -0.5 -0.3x = -1.2 + -0.5 Combine like terms: -1.2 + -0.5 = -1.7 -0.3x = -1.7 Divide each side by '-0.3'. x = 5.666666667 Simplifying x = 5.666666667
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