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Simplifying 3(2x + -14) + x = 15 + -1(-9x + 5) Reorder the terms: 3(-14 + 2x) + x = 15 + -1(-9x + 5) (-14 * 3 + 2x * 3) + x = 15 + -1(-9x + 5) (-42 + 6x) + x = 15 + -1(-9x + 5) Combine like terms: 6x + x = 7x -42 + 7x = 15 + -1(-9x + 5) Reorder the terms: -42 + 7x = 15 + -1(5 + -9x) -42 + 7x = 15 + (5 * -1 + -9x * -1) -42 + 7x = 15 + (-5 + 9x) Combine like terms: 15 + -5 = 10 -42 + 7x = 10 + 9x Solving -42 + 7x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 7x + -9x = 10 + 9x + -9x Combine like terms: 7x + -9x = -2x -42 + -2x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + -2x = 10 + 0 -42 + -2x = 10 Add '42' to each side of the equation. -42 + 42 + -2x = 10 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = 10 + 42 -2x = 10 + 42 Combine like terms: 10 + 42 = 52 -2x = 52 Divide each side by '-2'. x = -26 Simplifying x = -26
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