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Simplifying 2(x + -5) + -6x = 6 + -2(5x + -10) Reorder the terms: 2(-5 + x) + -6x = 6 + -2(5x + -10) (-5 * 2 + x * 2) + -6x = 6 + -2(5x + -10) (-10 + 2x) + -6x = 6 + -2(5x + -10) Combine like terms: 2x + -6x = -4x -10 + -4x = 6 + -2(5x + -10) Reorder the terms: -10 + -4x = 6 + -2(-10 + 5x) -10 + -4x = 6 + (-10 * -2 + 5x * -2) -10 + -4x = 6 + (20 + -10x) Combine like terms: 6 + 20 = 26 -10 + -4x = 26 + -10x Solving -10 + -4x = 26 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -10 + -4x + 10x = 26 + -10x + 10x Combine like terms: -4x + 10x = 6x -10 + 6x = 26 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 6x = 26 + 0 -10 + 6x = 26 Add '10' to each side of the equation. -10 + 10 + 6x = 26 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 26 + 10 6x = 26 + 10 Combine like terms: 26 + 10 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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