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Simplifying 6 + -1x + 8 = 3(x + -5) + 5(-4x + -7) Reorder the terms: 6 + 8 + -1x = 3(x + -5) + 5(-4x + -7) Combine like terms: 6 + 8 = 14 14 + -1x = 3(x + -5) + 5(-4x + -7) Reorder the terms: 14 + -1x = 3(-5 + x) + 5(-4x + -7) 14 + -1x = (-5 * 3 + x * 3) + 5(-4x + -7) 14 + -1x = (-15 + 3x) + 5(-4x + -7) Reorder the terms: 14 + -1x = -15 + 3x + 5(-7 + -4x) 14 + -1x = -15 + 3x + (-7 * 5 + -4x * 5) 14 + -1x = -15 + 3x + (-35 + -20x) Reorder the terms: 14 + -1x = -15 + -35 + 3x + -20x Combine like terms: -15 + -35 = -50 14 + -1x = -50 + 3x + -20x Combine like terms: 3x + -20x = -17x 14 + -1x = -50 + -17x Solving 14 + -1x = -50 + -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. 14 + -1x + 17x = -50 + -17x + 17x Combine like terms: -1x + 17x = 16x 14 + 16x = -50 + -17x + 17x Combine like terms: -17x + 17x = 0 14 + 16x = -50 + 0 14 + 16x = -50 Add '-14' to each side of the equation. 14 + -14 + 16x = -50 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = -50 + -14 16x = -50 + -14 Combine like terms: -50 + -14 = -64 16x = -64 Divide each side by '16'. x = -4 Simplifying x = -4
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