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Simplifying 3x + -2(4 + -5x) = 2(11 + -1x) 3x + (4 * -2 + -5x * -2) = 2(11 + -1x) 3x + (-8 + 10x) = 2(11 + -1x) Reorder the terms: -8 + 3x + 10x = 2(11 + -1x) Combine like terms: 3x + 10x = 13x -8 + 13x = 2(11 + -1x) -8 + 13x = (11 * 2 + -1x * 2) -8 + 13x = (22 + -2x) Solving -8 + 13x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 13x + 2x = 22 + -2x + 2x Combine like terms: 13x + 2x = 15x -8 + 15x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 15x = 22 + 0 -8 + 15x = 22 Add '8' to each side of the equation. -8 + 8 + 15x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 22 + 8 15x = 22 + 8 Combine like terms: 22 + 8 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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