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Simplifying 9 + -3(x + 4) = 12 + -6(x + -1) Reorder the terms: 9 + -3(4 + x) = 12 + -6(x + -1) 9 + (4 * -3 + x * -3) = 12 + -6(x + -1) 9 + (-12 + -3x) = 12 + -6(x + -1) Combine like terms: 9 + -12 = -3 -3 + -3x = 12 + -6(x + -1) Reorder the terms: -3 + -3x = 12 + -6(-1 + x) -3 + -3x = 12 + (-1 * -6 + x * -6) -3 + -3x = 12 + (6 + -6x) Combine like terms: 12 + 6 = 18 -3 + -3x = 18 + -6x Solving -3 + -3x = 18 + -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. -3 + -3x + 6x = 18 + -6x + 6x Combine like terms: -3x + 6x = 3x -3 + 3x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 3x = 18 + 0 -3 + 3x = 18 Add '3' to each side of the equation. -3 + 3 + 3x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 18 + 3 3x = 18 + 3 Combine like terms: 18 + 3 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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