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Simplifying 0.5(x + -10) + 4x = 6x + -11 Reorder the terms: 0.5(-10 + x) + 4x = 6x + -11 (-10 * 0.5 + x * 0.5) + 4x = 6x + -11 (-5 + 0.5x) + 4x = 6x + -11 Combine like terms: 0.5x + 4x = 4.5x -5 + 4.5x = 6x + -11 Reorder the terms: -5 + 4.5x = -11 + 6x Solving -5 + 4.5x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 4.5x + -6x = -11 + 6x + -6x Combine like terms: 4.5x + -6x = -1.5x -5 + -1.5x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1.5x = -11 + 0 -5 + -1.5x = -11 Add '5' to each side of the equation. -5 + 5 + -1.5x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + -1.5x = -11 + 5 -1.5x = -11 + 5 Combine like terms: -11 + 5 = -6 -1.5x = -6 Divide each side by '-1.5'. x = 4 Simplifying x = 4
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