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Simplifying 0.5(6x + -10) + -2x = 4x + -11 Reorder the terms: 0.5(-10 + 6x) + -2x = 4x + -11 (-10 * 0.5 + 6x * 0.5) + -2x = 4x + -11 (-5 + 3x) + -2x = 4x + -11 Combine like terms: 3x + -2x = 1x -5 + 1x = 4x + -11 Reorder the terms: -5 + 1x = -11 + 4x Solving -5 + 1x = -11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 1x + -4x = -11 + 4x + -4x Combine like terms: 1x + -4x = -3x -5 + -3x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -3x = -11 + 0 -5 + -3x = -11 Add '5' to each side of the equation. -5 + 5 + -3x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -11 + 5 -3x = -11 + 5 Combine like terms: -11 + 5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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