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Simplifying -3(3x + -1) + 6 = 6(x + 4) Reorder the terms: -3(-1 + 3x) + 6 = 6(x + 4) (-1 * -3 + 3x * -3) + 6 = 6(x + 4) (3 + -9x) + 6 = 6(x + 4) Reorder the terms: 3 + 6 + -9x = 6(x + 4) Combine like terms: 3 + 6 = 9 9 + -9x = 6(x + 4) Reorder the terms: 9 + -9x = 6(4 + x) 9 + -9x = (4 * 6 + x * 6) 9 + -9x = (24 + 6x) Solving 9 + -9x = 24 + 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. 9 + -9x + -6x = 24 + 6x + -6x Combine like terms: -9x + -6x = -15x 9 + -15x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -15x = 24 + 0 9 + -15x = 24 Add '-9' to each side of the equation. 9 + -9 + -15x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -15x = 24 + -9 -15x = 24 + -9 Combine like terms: 24 + -9 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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