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Simplifying 8 = -4x + -7(6 + -2x) 8 = -4x + (6 * -7 + -2x * -7) 8 = -4x + (-42 + 14x) Reorder the terms: 8 = -42 + -4x + 14x Combine like terms: -4x + 14x = 10x 8 = -42 + 10x Solving 8 = -42 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + -10x = -42 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -10x = -42 + 0 8 + -10x = -42 Add '-8' to each side of the equation. 8 + -8 + -10x = -42 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -42 + -8 -10x = -42 + -8 Combine like terms: -42 + -8 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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