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Simplifying 13x + -1(3x + 12) + -12x = -5x + 3 Reorder the terms: 13x + -1(12 + 3x) + -12x = -5x + 3 13x + (12 * -1 + 3x * -1) + -12x = -5x + 3 13x + (-12 + -3x) + -12x = -5x + 3 Reorder the terms: -12 + 13x + -3x + -12x = -5x + 3 Combine like terms: 13x + -3x = 10x -12 + 10x + -12x = -5x + 3 Combine like terms: 10x + -12x = -2x -12 + -2x = -5x + 3 Reorder the terms: -12 + -2x = 3 + -5x Solving -12 + -2x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + -2x + 5x = 3 + -5x + 5x Combine like terms: -2x + 5x = 3x -12 + 3x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 3x = 3 + 0 -12 + 3x = 3 Add '12' to each side of the equation. -12 + 12 + 3x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 3 + 12 3x = 3 + 12 Combine like terms: 3 + 12 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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