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Simplifying 12 + -6x + 10x = -2(-3x + 1) Combine like terms: -6x + 10x = 4x 12 + 4x = -2(-3x + 1) Reorder the terms: 12 + 4x = -2(1 + -3x) 12 + 4x = (1 * -2 + -3x * -2) 12 + 4x = (-2 + 6x) Solving 12 + 4x = -2 + 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 = -2 + 6x + -6x Combine like terms: 4x + -6x = -2x 12 + -2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -2x = -2 + 0 12 + -2x = -2 Add '-12' to each side of the equation. 12 + -12 + -2x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -2 + -12 -2x = -2 + -12 Combine like terms: -2 + -12 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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