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Simplifying 0.2(5x + -2) = 0.3(2x + -1) + -0.9 Reorder the terms: 0.2(-2 + 5x) = 0.3(2x + -1) + -0.9 (-2 * 0.2 + 5x * 0.2) = 0.3(2x + -1) + -0.9 (-0.4 + 1x) = 0.3(2x + -1) + -0.9 Reorder the terms: -0.4 + 1x = 0.3(-1 + 2x) + -0.9 -0.4 + 1x = (-1 * 0.3 + 2x * 0.3) + -0.9 -0.4 + 1x = (-0.3 + 0.6x) + -0.9 Reorder the terms: -0.4 + 1x = -0.3 + -0.9 + 0.6x Combine like terms: -0.3 + -0.9 = -1.2 -0.4 + 1x = -1.2 + 0.6x Solving -0.4 + 1x = -1.2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -0.4 + 1x + -0.6x = -1.2 + 0.6x + -0.6x Combine like terms: 1x + -0.6x = 0.4x -0.4 + 0.4x = -1.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.4 + 0.4x = -1.2 + 0.0 -0.4 + 0.4x = -1.2 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.4x = -1.2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.4x = -1.2 + 0.4 0.4x = -1.2 + 0.4 Combine like terms: -1.2 + 0.4 = -0.8 0.4x = -0.8 Divide each side by '0.4'. x = -2 Simplifying x = -2
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