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Simplifying -1(x + 0.2) = 0.3(4 + -1x) Reorder the terms: -1(0.2 + x) = 0.3(4 + -1x) (0.2 * -1 + x * -1) = 0.3(4 + -1x) (-0.2 + -1x) = 0.3(4 + -1x) -0.2 + -1x = (4 * 0.3 + -1x * 0.3) -0.2 + -1x = (1.2 + -0.3x) Solving -0.2 + -1x = 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. -0.2 + -1x + 0.3x = 1.2 + -0.3x + 0.3x Combine like terms: -1x + 0.3x = -0.7x -0.2 + -0.7x = 1.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -0.2 + -0.7x = 1.2 + 0.0 -0.2 + -0.7x = 1.2 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.7x = 1.2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.7x = 1.2 + 0.2 -0.7x = 1.2 + 0.2 Combine like terms: 1.2 + 0.2 = 1.4 -0.7x = 1.4 Divide each side by '-0.7'. x = -2 Simplifying x = -2
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