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Simplifying 6x + -10 = 3x + 5 + 2(x + -5) Reorder the terms: -10 + 6x = 3x + 5 + 2(x + -5) Reorder the terms: -10 + 6x = 3x + 5 + 2(-5 + x) -10 + 6x = 3x + 5 + (-5 * 2 + x * 2) -10 + 6x = 3x + 5 + (-10 + 2x) Reorder the terms: -10 + 6x = 5 + -10 + 3x + 2x Combine like terms: 5 + -10 = -5 -10 + 6x = -5 + 3x + 2x Combine like terms: 3x + 2x = 5x -10 + 6x = -5 + 5x Solving -10 + 6x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 6x + -5x = -5 + 5x + -5x Combine like terms: 6x + -5x = 1x -10 + 1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 1x = -5 + 0 -10 + 1x = -5 Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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