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Simplifying -6x + 14 = -8(x + -3) Reorder the terms: 14 + -6x = -8(x + -3) Reorder the terms: 14 + -6x = -8(-3 + x) 14 + -6x = (-3 * -8 + x * -8) 14 + -6x = (24 + -8x) Solving 14 + -6x = 24 + -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. 14 + -6x + 8x = 24 + -8x + 8x Combine like terms: -6x + 8x = 2x 14 + 2x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 2x = 24 + 0 14 + 2x = 24 Add '-14' to each side of the equation. 14 + -14 + 2x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 24 + -14 2x = 24 + -14 Combine like terms: 24 + -14 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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