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Simplifying 5x + 3 + -1(9x + -5) = 27 + -2x Reorder the terms: 5x + 3 + -1(-5 + 9x) = 27 + -2x 5x + 3 + (-5 * -1 + 9x * -1) = 27 + -2x 5x + 3 + (5 + -9x) = 27 + -2x Reorder the terms: 3 + 5 + 5x + -9x = 27 + -2x Combine like terms: 3 + 5 = 8 8 + 5x + -9x = 27 + -2x Combine like terms: 5x + -9x = -4x 8 + -4x = 27 + -2x Solving 8 + -4x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + -4x + 2x = 27 + -2x + 2x Combine like terms: -4x + 2x = -2x 8 + -2x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -2x = 27 + 0 8 + -2x = 27 Add '-8' to each side of the equation. 8 + -8 + -2x = 27 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 27 + -8 -2x = 27 + -8 Combine like terms: 27 + -8 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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