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Simplifying 3(2x + -14) + x = 15 + -1(-8x + -5) Reorder the terms: 3(-14 + 2x) + x = 15 + -1(-8x + -5) (-14 * 3 + 2x * 3) + x = 15 + -1(-8x + -5) (-42 + 6x) + x = 15 + -1(-8x + -5) Combine like terms: 6x + x = 7x -42 + 7x = 15 + -1(-8x + -5) Reorder the terms: -42 + 7x = 15 + -1(-5 + -8x) -42 + 7x = 15 + (-5 * -1 + -8x * -1) -42 + 7x = 15 + (5 + 8x) Combine like terms: 15 + 5 = 20 -42 + 7x = 20 + 8x Solving -42 + 7x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -42 + 7x + -8x = 20 + 8x + -8x Combine like terms: 7x + -8x = -1x -42 + -1x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + -1x = 20 + 0 -42 + -1x = 20 Add '42' to each side of the equation. -42 + 42 + -1x = 20 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = 20 + 42 -1x = 20 + 42 Combine like terms: 20 + 42 = 62 -1x = 62 Divide each side by '-1'. x = -62 Simplifying x = -62
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