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