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