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Simplifying 1x(1x + -12) = 30 + 1x(1x + 3) Reorder the terms: 1x(-12 + 1x) = 30 + 1x(1x + 3) (-12 * 1x + 1x * 1x) = 30 + 1x(1x + 3) (-12x + 1x2) = 30 + 1x(1x + 3) Reorder the terms: -12x + 1x2 = 30 + 1x(3 + 1x) -12x + 1x2 = 30 + (3 * 1x + 1x * 1x) -12x + 1x2 = 30 + (3x + 1x2) Add '-1x2' to each side of the equation. -12x + 1x2 + -1x2 = 30 + 3x + 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 -12x + 0 = 30 + 3x + 1x2 + -1x2 -12x = 30 + 3x + 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 -12x = 30 + 3x + 0 -12x = 30 + 3x Solving -12x = 30 + 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. -12x + -3x = 30 + 3x + -3x Combine like terms: -12x + -3x = -15x -15x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -15x = 30 + 0 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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