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Simplifying -1(x + -27) + 3(x + 3) = 9x + -18 Reorder the terms: -1(-27 + x) + 3(x + 3) = 9x + -18 (-27 * -1 + x * -1) + 3(x + 3) = 9x + -18 (27 + -1x) + 3(x + 3) = 9x + -18 Reorder the terms: 27 + -1x + 3(3 + x) = 9x + -18 27 + -1x + (3 * 3 + x * 3) = 9x + -18 27 + -1x + (9 + 3x) = 9x + -18 Reorder the terms: 27 + 9 + -1x + 3x = 9x + -18 Combine like terms: 27 + 9 = 36 36 + -1x + 3x = 9x + -18 Combine like terms: -1x + 3x = 2x 36 + 2x = 9x + -18 Reorder the terms: 36 + 2x = -18 + 9x Solving 36 + 2x = -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. 36 + 2x + -9x = -18 + 9x + -9x Combine like terms: 2x + -9x = -7x 36 + -7x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 36 + -7x = -18 + 0 36 + -7x = -18 Add '-36' to each side of the equation. 36 + -36 + -7x = -18 + -36 Combine like terms: 36 + -36 = 0 0 + -7x = -18 + -36 -7x = -18 + -36 Combine like terms: -18 + -36 = -54 -7x = -54 Divide each side by '-7'. x = 7.714285714 Simplifying x = 7.714285714
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