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Simplifying 12 + -6(x + 4) + 10x = 2x + 2(2x + 6) Reorder the terms: 12 + -6(4 + x) + 10x = 2x + 2(2x + 6) 12 + (4 * -6 + x * -6) + 10x = 2x + 2(2x + 6) 12 + (-24 + -6x) + 10x = 2x + 2(2x + 6) Combine like terms: 12 + -24 = -12 -12 + -6x + 10x = 2x + 2(2x + 6) Combine like terms: -6x + 10x = 4x -12 + 4x = 2x + 2(2x + 6) Reorder the terms: -12 + 4x = 2x + 2(6 + 2x) -12 + 4x = 2x + (6 * 2 + 2x * 2) -12 + 4x = 2x + (12 + 4x) Reorder the terms: -12 + 4x = 12 + 2x + 4x Combine like terms: 2x + 4x = 6x -12 + 4x = 12 + 6x Solving -12 + 4x = 12 + 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. -12 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = 12 + 0 -12 + -2x = 12 Add '12' to each side of the equation. -12 + 12 + -2x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 12 + 12 -2x = 12 + 12 Combine like terms: 12 + 12 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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