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Simplifying 4x + -12 = 3 + -1(2x + 9) Reorder the terms: -12 + 4x = 3 + -1(2x + 9) Reorder the terms: -12 + 4x = 3 + -1(9 + 2x) -12 + 4x = 3 + (9 * -1 + 2x * -1) -12 + 4x = 3 + (-9 + -2x) Combine like terms: 3 + -9 = -6 -12 + 4x = -6 + -2x Solving -12 + 4x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 4x + 2x = -6 + -2x + 2x Combine like terms: 4x + 2x = 6x -12 + 6x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 6x = -6 + 0 -12 + 6x = -6 Add '12' to each side of the equation. -12 + 12 + 6x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -6 + 12 6x = -6 + 12 Combine like terms: -6 + 12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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