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Simplifying 4x + 2(x + -3) = 8x + 12 Reorder the terms: 4x + 2(-3 + x) = 8x + 12 4x + (-3 * 2 + x * 2) = 8x + 12 4x + (-6 + 2x) = 8x + 12 Reorder the terms: -6 + 4x + 2x = 8x + 12 Combine like terms: 4x + 2x = 6x -6 + 6x = 8x + 12 Reorder the terms: -6 + 6x = 12 + 8x Solving -6 + 6x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 6x + -8x = 12 + 8x + -8x Combine like terms: 6x + -8x = -2x -6 + -2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -2x = 12 + 0 -6 + -2x = 12 Add '6' to each side of the equation. -6 + 6 + -2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 12 + 6 -2x = 12 + 6 Combine like terms: 12 + 6 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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