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Simplifying 3(2x + -14) + -1x = 15 + -1(-9x + -5) Reorder the terms: 3(-14 + 2x) + -1x = 15 + -1(-9x + -5) (-14 * 3 + 2x * 3) + -1x = 15 + -1(-9x + -5) (-42 + 6x) + -1x = 15 + -1(-9x + -5) Combine like terms: 6x + -1x = 5x -42 + 5x = 15 + -1(-9x + -5) Reorder the terms: -42 + 5x = 15 + -1(-5 + -9x) -42 + 5x = 15 + (-5 * -1 + -9x * -1) -42 + 5x = 15 + (5 + 9x) Combine like terms: 15 + 5 = 20 -42 + 5x = 20 + 9x Solving -42 + 5x = 20 + 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 + 5x + -9x = 20 + 9x + -9x Combine like terms: 5x + -9x = -4x -42 + -4x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + -4x = 20 + 0 -42 + -4x = 20 Add '42' to each side of the equation. -42 + 42 + -4x = 20 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = 20 + 42 -4x = 20 + 42 Combine like terms: 20 + 42 = 62 -4x = 62 Divide each side by '-4'. x = -15.5 Simplifying x = -15.5
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