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Simplifying 0.5 + -1x + 3.5 = x + -6 Reorder the terms: 0.5 + 3.5 + -1x = x + -6 Combine like terms: 0.5 + 3.5 = 4 4 + -1x = x + -6 Reorder the terms: 4 + -1x = -6 + x Solving 4 + -1x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -1x + -1x = -6 + x + -1x Combine like terms: -1x + -1x = -2x 4 + -2x = -6 + x + -1x Combine like terms: x + -1x = 0 4 + -2x = -6 + 0 4 + -2x = -6 Add '-4' to each side of the equation. 4 + -4 + -2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -6 + -4 -2x = -6 + -4 Combine like terms: -6 + -4 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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