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Simplifying 8 + -4x = 4 + -1(2x + 6) Reorder the terms: 8 + -4x = 4 + -1(6 + 2x) 8 + -4x = 4 + (6 * -1 + 2x * -1) 8 + -4x = 4 + (-6 + -2x) Combine like terms: 4 + -6 = -2 8 + -4x = -2 + -2x Solving 8 + -4x = -2 + -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 + -4x + 2x = -2 + -2x + 2x Combine like terms: -4x + 2x = -2x 8 + -2x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -2x = -2 + 0 8 + -2x = -2 Add '-8' to each side of the equation. 8 + -8 + -2x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -2 + -8 -2x = -2 + -8 Combine like terms: -2 + -8 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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