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Simplifying 27 + -2x = 3(2x + -3) + -4 Reorder the terms: 27 + -2x = 3(-3 + 2x) + -4 27 + -2x = (-3 * 3 + 2x * 3) + -4 27 + -2x = (-9 + 6x) + -4 Reorder the terms: 27 + -2x = -9 + -4 + 6x Combine like terms: -9 + -4 = -13 27 + -2x = -13 + 6x Solving 27 + -2x = -13 + 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. 27 + -2x + -6x = -13 + 6x + -6x Combine like terms: -2x + -6x = -8x 27 + -8x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -8x = -13 + 0 27 + -8x = -13 Add '-27' to each side of the equation. 27 + -27 + -8x = -13 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -13 + -27 -8x = -13 + -27 Combine like terms: -13 + -27 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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