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Simplifying 4x + -12 = 2(x + 7) + 6 Reorder the terms: -12 + 4x = 2(x + 7) + 6 Reorder the terms: -12 + 4x = 2(7 + x) + 6 -12 + 4x = (7 * 2 + x * 2) + 6 -12 + 4x = (14 + 2x) + 6 Reorder the terms: -12 + 4x = 14 + 6 + 2x Combine like terms: 14 + 6 = 20 -12 + 4x = 20 + 2x Solving -12 + 4x = 20 + 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. -12 + 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 20 + 0 -12 + 2x = 20 Add '12' to each side of the equation. -12 + 12 + 2x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 20 + 12 2x = 20 + 12 Combine like terms: 20 + 12 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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