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Simplifying -1(x + -27) + 3(x + 3) = 9(x + 11) Reorder the terms: -1(-27 + x) + 3(x + 3) = 9(x + 11) (-27 * -1 + x * -1) + 3(x + 3) = 9(x + 11) (27 + -1x) + 3(x + 3) = 9(x + 11) Reorder the terms: 27 + -1x + 3(3 + x) = 9(x + 11) 27 + -1x + (3 * 3 + x * 3) = 9(x + 11) 27 + -1x + (9 + 3x) = 9(x + 11) Reorder the terms: 27 + 9 + -1x + 3x = 9(x + 11) Combine like terms: 27 + 9 = 36 36 + -1x + 3x = 9(x + 11) Combine like terms: -1x + 3x = 2x 36 + 2x = 9(x + 11) Reorder the terms: 36 + 2x = 9(11 + x) 36 + 2x = (11 * 9 + x * 9) 36 + 2x = (99 + 9x) Solving 36 + 2x = 99 + 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. 36 + 2x + -9x = 99 + 9x + -9x Combine like terms: 2x + -9x = -7x 36 + -7x = 99 + 9x + -9x Combine like terms: 9x + -9x = 0 36 + -7x = 99 + 0 36 + -7x = 99 Add '-36' to each side of the equation. 36 + -36 + -7x = 99 + -36 Combine like terms: 36 + -36 = 0 0 + -7x = 99 + -36 -7x = 99 + -36 Combine like terms: 99 + -36 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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