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Simplifying -10x + 5 = 2x + 6 Reorder the terms: 5 + -10x = 2x + 6 Reorder the terms: 5 + -10x = 6 + 2x Solving 5 + -10x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -10x + -2x = 6 + 2x + -2x Combine like terms: -10x + -2x = -12x 5 + -12x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -12x = 6 + 0 5 + -12x = 6 Add '-5' to each side of the equation. 5 + -5 + -12x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 6 + -5 -12x = 6 + -5 Combine like terms: 6 + -5 = 1 -12x = 1 Divide each side by '-12'. x = -0.08333333333 Simplifying x = -0.08333333333
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