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Simplifying 4x + -11 = 0.5(8 + (3x + -5)) Reorder the terms: -11 + 4x = 0.5(8 + (3x + -5)) Reorder the terms: -11 + 4x = 0.5(8 + (-5 + 3x)) Remove parenthesis around (-5 + 3x) -11 + 4x = 0.5(8 + -5 + 3x) Combine like terms: 8 + -5 = 3 -11 + 4x = 0.5(3 + 3x) -11 + 4x = (3 * 0.5 + 3x * 0.5) -11 + 4x = (1.5 + 1.5x) Solving -11 + 4x = 1.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -11 + 4x + -1.5x = 1.5 + 1.5x + -1.5x Combine like terms: 4x + -1.5x = 2.5x -11 + 2.5x = 1.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -11 + 2.5x = 1.5 + 0.0 -11 + 2.5x = 1.5 Add '11' to each side of the equation. -11 + 11 + 2.5x = 1.5 + 11 Combine like terms: -11 + 11 = 0 0 + 2.5x = 1.5 + 11 2.5x = 1.5 + 11 Combine like terms: 1.5 + 11 = 12.5 2.5x = 12.5 Divide each side by '2.5'. x = 5 Simplifying x = 5
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