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Simplifying 3(4x + -1) + -2(5x + -3) = 11 + -2x Reorder the terms: 3(-1 + 4x) + -2(5x + -3) = 11 + -2x (-1 * 3 + 4x * 3) + -2(5x + -3) = 11 + -2x (-3 + 12x) + -2(5x + -3) = 11 + -2x Reorder the terms: -3 + 12x + -2(-3 + 5x) = 11 + -2x -3 + 12x + (-3 * -2 + 5x * -2) = 11 + -2x -3 + 12x + (6 + -10x) = 11 + -2x Reorder the terms: -3 + 6 + 12x + -10x = 11 + -2x Combine like terms: -3 + 6 = 3 3 + 12x + -10x = 11 + -2x Combine like terms: 12x + -10x = 2x 3 + 2x = 11 + -2x Solving 3 + 2x = 11 + -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. 3 + 2x + 2x = 11 + -2x + 2x Combine like terms: 2x + 2x = 4x 3 + 4x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 4x = 11 + 0 3 + 4x = 11 Add '-3' to each side of the equation. 3 + -3 + 4x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 11 + -3 4x = 11 + -3 Combine like terms: 11 + -3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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