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Simplifying 27 + 8(-2 + -3x) = -5(2 + x) + -1(x + 15) 27 + (-2 * 8 + -3x * 8) = -5(2 + x) + -1(x + 15) 27 + (-16 + -24x) = -5(2 + x) + -1(x + 15) Combine like terms: 27 + -16 = 11 11 + -24x = -5(2 + x) + -1(x + 15) 11 + -24x = (2 * -5 + x * -5) + -1(x + 15) 11 + -24x = (-10 + -5x) + -1(x + 15) Reorder the terms: 11 + -24x = -10 + -5x + -1(15 + x) 11 + -24x = -10 + -5x + (15 * -1 + x * -1) 11 + -24x = -10 + -5x + (-15 + -1x) Reorder the terms: 11 + -24x = -10 + -15 + -5x + -1x Combine like terms: -10 + -15 = -25 11 + -24x = -25 + -5x + -1x Combine like terms: -5x + -1x = -6x 11 + -24x = -25 + -6x Solving 11 + -24x = -25 + -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. 11 + -24x + 6x = -25 + -6x + 6x Combine like terms: -24x + 6x = -18x 11 + -18x = -25 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + -18x = -25 + 0 11 + -18x = -25 Add '-11' to each side of the equation. 11 + -11 + -18x = -25 + -11 Combine like terms: 11 + -11 = 0 0 + -18x = -25 + -11 -18x = -25 + -11 Combine like terms: -25 + -11 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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