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Simplifying 6(x + 1) + 27 = -9(x + -2) Reorder the terms: 6(1 + x) + 27 = -9(x + -2) (1 * 6 + x * 6) + 27 = -9(x + -2) (6 + 6x) + 27 = -9(x + -2) Reorder the terms: 6 + 27 + 6x = -9(x + -2) Combine like terms: 6 + 27 = 33 33 + 6x = -9(x + -2) Reorder the terms: 33 + 6x = -9(-2 + x) 33 + 6x = (-2 * -9 + x * -9) 33 + 6x = (18 + -9x) Solving 33 + 6x = 18 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 33 + 6x + 9x = 18 + -9x + 9x Combine like terms: 6x + 9x = 15x 33 + 15x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 33 + 15x = 18 + 0 33 + 15x = 18 Add '-33' to each side of the equation. 33 + -33 + 15x = 18 + -33 Combine like terms: 33 + -33 = 0 0 + 15x = 18 + -33 15x = 18 + -33 Combine like terms: 18 + -33 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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