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Simplifying 8x + -6 = 12 + 2(x + -3) Reorder the terms: -6 + 8x = 12 + 2(x + -3) Reorder the terms: -6 + 8x = 12 + 2(-3 + x) -6 + 8x = 12 + (-3 * 2 + x * 2) -6 + 8x = 12 + (-6 + 2x) Combine like terms: 12 + -6 = 6 -6 + 8x = 6 + 2x Solving -6 + 8x = 6 + 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. -6 + 8x + -2x = 6 + 2x + -2x Combine like terms: 8x + -2x = 6x -6 + 6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 6x = 6 + 0 -6 + 6x = 6 Add '6' to each side of the equation. -6 + 6 + 6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 6 + 6 6x = 6 + 6 Combine like terms: 6 + 6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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