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Simplifying 12 + -3x + 7x = -2(-5x + 6) Combine like terms: -3x + 7x = 4x 12 + 4x = -2(-5x + 6) Reorder the terms: 12 + 4x = -2(6 + -5x) 12 + 4x = (6 * -2 + -5x * -2) 12 + 4x = (-12 + 10x) Solving 12 + 4x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 4x + -10x = -12 + 10x + -10x Combine like terms: 4x + -10x = -6x 12 + -6x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -6x = -12 + 0 12 + -6x = -12 Add '-12' to each side of the equation. 12 + -12 + -6x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -12 + -12 -6x = -12 + -12 Combine like terms: -12 + -12 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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