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Simplifying 3(4 + -1x) + -1(4x + 1) = 9 + -3(x + 3) (4 * 3 + -1x * 3) + -1(4x + 1) = 9 + -3(x + 3) (12 + -3x) + -1(4x + 1) = 9 + -3(x + 3) Reorder the terms: 12 + -3x + -1(1 + 4x) = 9 + -3(x + 3) 12 + -3x + (1 * -1 + 4x * -1) = 9 + -3(x + 3) 12 + -3x + (-1 + -4x) = 9 + -3(x + 3) Reorder the terms: 12 + -1 + -3x + -4x = 9 + -3(x + 3) Combine like terms: 12 + -1 = 11 11 + -3x + -4x = 9 + -3(x + 3) Combine like terms: -3x + -4x = -7x 11 + -7x = 9 + -3(x + 3) Reorder the terms: 11 + -7x = 9 + -3(3 + x) 11 + -7x = 9 + (3 * -3 + x * -3) 11 + -7x = 9 + (-9 + -3x) Combine like terms: 9 + -9 = 0 11 + -7x = 0 + -3x 11 + -7x = -3x Solving 11 + -7x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 11 + -7x + 3x = -3x + 3x Combine like terms: -7x + 3x = -4x 11 + -4x = -3x + 3x Combine like terms: -3x + 3x = 0 11 + -4x = 0 Add '-11' to each side of the equation. 11 + -11 + -4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 0 + -11 -4x = 0 + -11 Combine like terms: 0 + -11 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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