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Simplifying 6x + -3(3x + 1) = 14 + -1(3 + -4x) Reorder the terms: 6x + -3(1 + 3x) = 14 + -1(3 + -4x) 6x + (1 * -3 + 3x * -3) = 14 + -1(3 + -4x) 6x + (-3 + -9x) = 14 + -1(3 + -4x) Reorder the terms: -3 + 6x + -9x = 14 + -1(3 + -4x) Combine like terms: 6x + -9x = -3x -3 + -3x = 14 + -1(3 + -4x) -3 + -3x = 14 + (3 * -1 + -4x * -1) -3 + -3x = 14 + (-3 + 4x) Combine like terms: 14 + -3 = 11 -3 + -3x = 11 + 4x Solving -3 + -3x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + -3x + -4x = 11 + 4x + -4x Combine like terms: -3x + -4x = -7x -3 + -7x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -7x = 11 + 0 -3 + -7x = 11 Add '3' to each side of the equation. -3 + 3 + -7x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 11 + 3 -7x = 11 + 3 Combine like terms: 11 + 3 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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