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Simplifying -1x + -13 = 3(5 + 4x) + -2 Reorder the terms: -13 + -1x = 3(5 + 4x) + -2 -13 + -1x = (5 * 3 + 4x * 3) + -2 -13 + -1x = (15 + 12x) + -2 Reorder the terms: -13 + -1x = 15 + -2 + 12x Combine like terms: 15 + -2 = 13 -13 + -1x = 13 + 12x Solving -13 + -1x = 13 + 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. -13 + -1x + -12x = 13 + 12x + -12x Combine like terms: -1x + -12x = -13x -13 + -13x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -13x = 13 + 0 -13 + -13x = 13 Add '13' to each side of the equation. -13 + 13 + -13x = 13 + 13 Combine like terms: -13 + 13 = 0 0 + -13x = 13 + 13 -13x = 13 + 13 Combine like terms: 13 + 13 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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