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Simplifying 11 + -1(6x + 12) = 14 + -1(10x + -33) Reorder the terms: 11 + -1(12 + 6x) = 14 + -1(10x + -33) 11 + (12 * -1 + 6x * -1) = 14 + -1(10x + -33) 11 + (-12 + -6x) = 14 + -1(10x + -33) Combine like terms: 11 + -12 = -1 -1 + -6x = 14 + -1(10x + -33) Reorder the terms: -1 + -6x = 14 + -1(-33 + 10x) -1 + -6x = 14 + (-33 * -1 + 10x * -1) -1 + -6x = 14 + (33 + -10x) Combine like terms: 14 + 33 = 47 -1 + -6x = 47 + -10x Solving -1 + -6x = 47 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -1 + -6x + 10x = 47 + -10x + 10x Combine like terms: -6x + 10x = 4x -1 + 4x = 47 + -10x + 10x Combine like terms: -10x + 10x = 0 -1 + 4x = 47 + 0 -1 + 4x = 47 Add '1' to each side of the equation. -1 + 1 + 4x = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 47 + 1 4x = 47 + 1 Combine like terms: 47 + 1 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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