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Simplifying 6x + -2(x + 1) = 2(5x + 5) Reorder the terms: 6x + -2(1 + x) = 2(5x + 5) 6x + (1 * -2 + x * -2) = 2(5x + 5) 6x + (-2 + -2x) = 2(5x + 5) Reorder the terms: -2 + 6x + -2x = 2(5x + 5) Combine like terms: 6x + -2x = 4x -2 + 4x = 2(5x + 5) Reorder the terms: -2 + 4x = 2(5 + 5x) -2 + 4x = (5 * 2 + 5x * 2) -2 + 4x = (10 + 10x) Solving -2 + 4x = 10 + 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. -2 + 4x + -10x = 10 + 10x + -10x Combine like terms: 4x + -10x = -6x -2 + -6x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -6x = 10 + 0 -2 + -6x = 10 Add '2' to each side of the equation. -2 + 2 + -6x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 10 + 2 -6x = 10 + 2 Combine like terms: 10 + 2 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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