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Simplifying 2(x + -7) + -10 = 12 + -4x Reorder the terms: 2(-7 + x) + -10 = 12 + -4x (-7 * 2 + x * 2) + -10 = 12 + -4x (-14 + 2x) + -10 = 12 + -4x Reorder the terms: -14 + -10 + 2x = 12 + -4x Combine like terms: -14 + -10 = -24 -24 + 2x = 12 + -4x Solving -24 + 2x = 12 + -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. -24 + 2x + 4x = 12 + -4x + 4x Combine like terms: 2x + 4x = 6x -24 + 6x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 6x = 12 + 0 -24 + 6x = 12 Add '24' to each side of the equation. -24 + 24 + 6x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 12 + 24 6x = 12 + 24 Combine like terms: 12 + 24 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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