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Simplifying -5(3x + 1) = 12(-1x + -1) + 1 Reorder the terms: -5(1 + 3x) = 12(-1x + -1) + 1 (1 * -5 + 3x * -5) = 12(-1x + -1) + 1 (-5 + -15x) = 12(-1x + -1) + 1 Reorder the terms: -5 + -15x = 12(-1 + -1x) + 1 -5 + -15x = (-1 * 12 + -1x * 12) + 1 -5 + -15x = (-12 + -12x) + 1 Reorder the terms: -5 + -15x = -12 + 1 + -12x Combine like terms: -12 + 1 = -11 -5 + -15x = -11 + -12x Solving -5 + -15x = -11 + -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. -5 + -15x + 12x = -11 + -12x + 12x Combine like terms: -15x + 12x = -3x -5 + -3x = -11 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + -3x = -11 + 0 -5 + -3x = -11 Add '5' to each side of the equation. -5 + 5 + -3x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -11 + 5 -3x = -11 + 5 Combine like terms: -11 + 5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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