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Simplifying 2x + -3(2x + 2) = 2(-3x + 10) Reorder the terms: 2x + -3(2 + 2x) = 2(-3x + 10) 2x + (2 * -3 + 2x * -3) = 2(-3x + 10) 2x + (-6 + -6x) = 2(-3x + 10) Reorder the terms: -6 + 2x + -6x = 2(-3x + 10) Combine like terms: 2x + -6x = -4x -6 + -4x = 2(-3x + 10) Reorder the terms: -6 + -4x = 2(10 + -3x) -6 + -4x = (10 * 2 + -3x * 2) -6 + -4x = (20 + -6x) Solving -6 + -4x = 20 + -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 + -4x + 6x = 20 + -6x + 6x Combine like terms: -4x + 6x = 2x -6 + 2x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 2x = 20 + 0 -6 + 2x = 20 Add '6' to each side of the equation. -6 + 6 + 2x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 20 + 6 2x = 20 + 6 Combine like terms: 20 + 6 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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