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Simplifying 12x + 6 + -2x = 4(x + -3) Reorder the terms: 6 + 12x + -2x = 4(x + -3) Combine like terms: 12x + -2x = 10x 6 + 10x = 4(x + -3) Reorder the terms: 6 + 10x = 4(-3 + x) 6 + 10x = (-3 * 4 + x * 4) 6 + 10x = (-12 + 4x) Solving 6 + 10x = -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. 6 + 10x + -4x = -12 + 4x + -4x Combine like terms: 10x + -4x = 6x 6 + 6x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 6x = -12 + 0 6 + 6x = -12 Add '-6' to each side of the equation. 6 + -6 + 6x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -12 + -6 6x = -12 + -6 Combine like terms: -12 + -6 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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