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Simplifying 3x + -13 = 5(x + 3) + 12x Reorder the terms: -13 + 3x = 5(x + 3) + 12x Reorder the terms: -13 + 3x = 5(3 + x) + 12x -13 + 3x = (3 * 5 + x * 5) + 12x -13 + 3x = (15 + 5x) + 12x Combine like terms: 5x + 12x = 17x -13 + 3x = 15 + 17x Solving -13 + 3x = 15 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -13 + 3x + -17x = 15 + 17x + -17x Combine like terms: 3x + -17x = -14x -13 + -14x = 15 + 17x + -17x Combine like terms: 17x + -17x = 0 -13 + -14x = 15 + 0 -13 + -14x = 15 Add '13' to each side of the equation. -13 + 13 + -14x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -14x = 15 + 13 -14x = 15 + 13 Combine like terms: 15 + 13 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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