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Simplifying 0.5(x + 4) = 2x + -2(3 + -1x) + -5 Reorder the terms: 0.5(4 + x) = 2x + -2(3 + -1x) + -5 (4 * 0.5 + x * 0.5) = 2x + -2(3 + -1x) + -5 (2 + 0.5x) = 2x + -2(3 + -1x) + -5 2 + 0.5x = 2x + (3 * -2 + -1x * -2) + -5 2 + 0.5x = 2x + (-6 + 2x) + -5 Reorder the terms: 2 + 0.5x = -6 + -5 + 2x + 2x Combine like terms: -6 + -5 = -11 2 + 0.5x = -11 + 2x + 2x Combine like terms: 2x + 2x = 4x 2 + 0.5x = -11 + 4x Solving 2 + 0.5x = -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. 2 + 0.5x + -4x = -11 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 2 + -3.5x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -3.5x = -11 + 0 2 + -3.5x = -11 Add '-2' to each side of the equation. 2 + -2 + -3.5x = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -3.5x = -11 + -2 -3.5x = -11 + -2 Combine like terms: -11 + -2 = -13 -3.5x = -13 Divide each side by '-3.5'. x = 3.714285714 Simplifying x = 3.714285714
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