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Simplifying 3(2x + -14) + x = 15 + -1(-9 + -5) Reorder the terms: 3(-14 + 2x) + x = 15 + -1(-9 + -5) (-14 * 3 + 2x * 3) + x = 15 + -1(-9 + -5) (-42 + 6x) + x = 15 + -1(-9 + -5) Combine like terms: 6x + x = 7x -42 + 7x = 15 + -1(-9 + -5) Combine like terms: -9 + -5 = -14 -42 + 7x = 15 + -1(-14) Multiply -1 * -14 -42 + 7x = 15 + 14 Combine like terms: 15 + 14 = 29 -42 + 7x = 29 Solving -42 + 7x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7x = 29 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 29 + 42 7x = 29 + 42 Combine like terms: 29 + 42 = 71 7x = 71 Divide each side by '7'. x = 10.14285714 Simplifying x = 10.14285714
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