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Simplifying 0.6(x + -2) + -0.3x = 0.4x + -3 + 5 + -0.5x Reorder the terms: 0.6(-2 + x) + -0.3x = 0.4x + -3 + 5 + -0.5x (-2 * 0.6 + x * 0.6) + -0.3x = 0.4x + -3 + 5 + -0.5x (-1.2 + 0.6x) + -0.3x = 0.4x + -3 + 5 + -0.5x Combine like terms: 0.6x + -0.3x = 0.3x -1.2 + 0.3x = 0.4x + -3 + 5 + -0.5x Reorder the terms: -1.2 + 0.3x = -3 + 5 + 0.4x + -0.5x Combine like terms: -3 + 5 = 2 -1.2 + 0.3x = 2 + 0.4x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x -1.2 + 0.3x = 2 + -0.1x Solving -1.2 + 0.3x = 2 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -1.2 + 0.3x + 0.1x = 2 + -0.1x + 0.1x Combine like terms: 0.3x + 0.1x = 0.4x -1.2 + 0.4x = 2 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -1.2 + 0.4x = 2 + 0.0 -1.2 + 0.4x = 2 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.4x = 2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.4x = 2 + 1.2 0.4x = 2 + 1.2 Combine like terms: 2 + 1.2 = 3.2 0.4x = 3.2 Divide each side by '0.4'. x = 8 Simplifying x = 8
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