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Simplifying 6(2x + -1) = 10x + -2(2x + -3) Reorder the terms: 6(-1 + 2x) = 10x + -2(2x + -3) (-1 * 6 + 2x * 6) = 10x + -2(2x + -3) (-6 + 12x) = 10x + -2(2x + -3) Reorder the terms: -6 + 12x = 10x + -2(-3 + 2x) -6 + 12x = 10x + (-3 * -2 + 2x * -2) -6 + 12x = 10x + (6 + -4x) Reorder the terms: -6 + 12x = 6 + 10x + -4x Combine like terms: 10x + -4x = 6x -6 + 12x = 6 + 6x Solving -6 + 12x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x -6 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 6x = 6 + 0 -6 + 6x = 6 Add '6' to each side of the equation. -6 + 6 + 6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 6 + 6 6x = 6 + 6 Combine like terms: 6 + 6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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