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Simplifying 8 + -3x(x + -5) = 2 + -1x(3x + -12) Reorder the terms: 8 + -3x(-5 + x) = 2 + -1x(3x + -12) 8 + (-5 * -3x + x * -3x) = 2 + -1x(3x + -12) 8 + (15x + -3x2) = 2 + -1x(3x + -12) Reorder the terms: 8 + 15x + -3x2 = 2 + -1x(-12 + 3x) 8 + 15x + -3x2 = 2 + (-12 * -1x + 3x * -1x) 8 + 15x + -3x2 = 2 + (12x + -3x2) Add '3x2' to each side of the equation. 8 + 15x + -3x2 + 3x2 = 2 + 12x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 8 + 15x + 0 = 2 + 12x + -3x2 + 3x2 8 + 15x = 2 + 12x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 8 + 15x = 2 + 12x + 0 8 + 15x = 2 + 12x Solving 8 + 15x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 15x + -12x = 2 + 12x + -12x Combine like terms: 15x + -12x = 3x 8 + 3x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 3x = 2 + 0 8 + 3x = 2 Add '-8' to each side of the equation. 8 + -8 + 3x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 2 + -8 3x = 2 + -8 Combine like terms: 2 + -8 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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