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Simplifying 0.5(x + -40) = 6 + 7x Reorder the terms: 0.5(-40 + x) = 6 + 7x (-40 * 0.5 + x * 0.5) = 6 + 7x (-20 + 0.5x) = 6 + 7x Solving -20 + 0.5x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 0.5x + -7x = 6 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -20 + -6.5x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -6.5x = 6 + 0 -20 + -6.5x = 6 Add '20' to each side of the equation. -20 + 20 + -6.5x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -6.5x = 6 + 20 -6.5x = 6 + 20 Combine like terms: 6 + 20 = 26 -6.5x = 26 Divide each side by '-6.5'. x = -4 Simplifying x = -4
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