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Simplifying 12 + -6x + 10x = -2(-7x + 4) Combine like terms: -6x + 10x = 4x 12 + 4x = -2(-7x + 4) Reorder the terms: 12 + 4x = -2(4 + -7x) 12 + 4x = (4 * -2 + -7x * -2) 12 + 4x = (-8 + 14x) Solving 12 + 4x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 4x + -14x = -8 + 14x + -14x Combine like terms: 4x + -14x = -10x 12 + -10x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -10x = -8 + 0 12 + -10x = -8 Add '-12' to each side of the equation. 12 + -12 + -10x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -8 + -12 -10x = -8 + -12 Combine like terms: -8 + -12 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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