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Simplifying 4x + -12 = 2(3x + -4) Reorder the terms: -12 + 4x = 2(3x + -4) Reorder the terms: -12 + 4x = 2(-4 + 3x) -12 + 4x = (-4 * 2 + 3x * 2) -12 + 4x = (-8 + 6x) Solving -12 + 4x = -8 + 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 = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = -8 + 0 -12 + -2x = -8 Add '12' to each side of the equation. -12 + 12 + -2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -8 + 12 -2x = -8 + 12 Combine like terms: -8 + 12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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