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Simplifying 0.5(x + -10) = 0.4x + -3 + 6 + 0.6x Reorder the terms: 0.5(-10 + x) = 0.4x + -3 + 6 + 0.6x (-10 * 0.5 + x * 0.5) = 0.4x + -3 + 6 + 0.6x (-5 + 0.5x) = 0.4x + -3 + 6 + 0.6x Reorder the terms: -5 + 0.5x = -3 + 6 + 0.4x + 0.6x Combine like terms: -3 + 6 = 3 -5 + 0.5x = 3 + 0.4x + 0.6x Combine like terms: 0.4x + 0.6x = 1x -5 + 0.5x = 3 + 1x Solving -5 + 0.5x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 0.5x + -1x = 3 + 1x + -1x Combine like terms: 0.5x + -1x = -0.5x -5 + -0.5x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -0.5x = 3 + 0 -5 + -0.5x = 3 Add '5' to each side of the equation. -5 + 5 + -0.5x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -0.5x = 3 + 5 -0.5x = 3 + 5 Combine like terms: 3 + 5 = 8 -0.5x = 8 Divide each side by '-0.5'. x = -16 Simplifying x = -16
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