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Simplifying 8 + -4x = 4 + -3(2x + -6) Reorder the terms: 8 + -4x = 4 + -3(-6 + 2x) 8 + -4x = 4 + (-6 * -3 + 2x * -3) 8 + -4x = 4 + (18 + -6x) Combine like terms: 4 + 18 = 22 8 + -4x = 22 + -6x Solving 8 + -4x = 22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -4x + 6x = 22 + -6x + 6x Combine like terms: -4x + 6x = 2x 8 + 2x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 2x = 22 + 0 8 + 2x = 22 Add '-8' to each side of the equation. 8 + -8 + 2x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 22 + -8 2x = 22 + -8 Combine like terms: 22 + -8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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