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Simplifying 0.5(x + 5) + 6x = 4x Reorder the terms: 0.5(5 + x) + 6x = 4x (5 * 0.5 + x * 0.5) + 6x = 4x (2.5 + 0.5x) + 6x = 4x Combine like terms: 0.5x + 6x = 6.5x 2.5 + 6.5x = 4x Solving 2.5 + 6.5x = 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. 2.5 + 6.5x + -4x = 4x + -4x Combine like terms: 6.5x + -4x = 2.5x 2.5 + 2.5x = 4x + -4x Combine like terms: 4x + -4x = 0 2.5 + 2.5x = 0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 2.5x = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2.5x = 0 + -2.5 2.5x = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 2.5x = -2.5 Divide each side by '2.5'. x = -1 Simplifying x = -1
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