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Simplifying 2(x + 3) + 6 = -4x + 8 Reorder the terms: 2(3 + x) + 6 = -4x + 8 (3 * 2 + x * 2) + 6 = -4x + 8 (6 + 2x) + 6 = -4x + 8 Reorder the terms: 6 + 6 + 2x = -4x + 8 Combine like terms: 6 + 6 = 12 12 + 2x = -4x + 8 Reorder the terms: 12 + 2x = 8 + -4x Solving 12 + 2x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 2x + 4x = 8 + -4x + 4x Combine like terms: 2x + 4x = 6x 12 + 6x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 6x = 8 + 0 12 + 6x = 8 Add '-12' to each side of the equation. 12 + -12 + 6x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 8 + -12 6x = 8 + -12 Combine like terms: 8 + -12 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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