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Simplifying 6x + -10 = 2x + 5 + 3(x + -5) Reorder the terms: -10 + 6x = 2x + 5 + 3(x + -5) Reorder the terms: -10 + 6x = 2x + 5 + 3(-5 + x) -10 + 6x = 2x + 5 + (-5 * 3 + x * 3) -10 + 6x = 2x + 5 + (-15 + 3x) Reorder the terms: -10 + 6x = 5 + -15 + 2x + 3x Combine like terms: 5 + -15 = -10 -10 + 6x = -10 + 2x + 3x Combine like terms: 2x + 3x = 5x -10 + 6x = -10 + 5x Add '10' to each side of the equation. -10 + 10 + 6x = -10 + 10 + 5x Combine like terms: -10 + 10 = 0 0 + 6x = -10 + 10 + 5x 6x = -10 + 10 + 5x Combine like terms: -10 + 10 = 0 6x = 0 + 5x 6x = 5x Solving 6x = 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. 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 1x = 5x + -5x Combine like terms: 5x + -5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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