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Simplifying -8(3x + 1) = -2x + 14 Reorder the terms: -8(1 + 3x) = -2x + 14 (1 * -8 + 3x * -8) = -2x + 14 (-8 + -24x) = -2x + 14 Reorder the terms: -8 + -24x = 14 + -2x Solving -8 + -24x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + -24x + 2x = 14 + -2x + 2x Combine like terms: -24x + 2x = -22x -8 + -22x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -22x = 14 + 0 -8 + -22x = 14 Add '8' to each side of the equation. -8 + 8 + -22x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -22x = 14 + 8 -22x = 14 + 8 Combine like terms: 14 + 8 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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