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Simplifying -6(5x + -14) = 27 + -3(8x + 15) Reorder the terms: -6(-14 + 5x) = 27 + -3(8x + 15) (-14 * -6 + 5x * -6) = 27 + -3(8x + 15) (84 + -30x) = 27 + -3(8x + 15) Reorder the terms: 84 + -30x = 27 + -3(15 + 8x) 84 + -30x = 27 + (15 * -3 + 8x * -3) 84 + -30x = 27 + (-45 + -24x) Combine like terms: 27 + -45 = -18 84 + -30x = -18 + -24x Solving 84 + -30x = -18 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 84 + -30x + 24x = -18 + -24x + 24x Combine like terms: -30x + 24x = -6x 84 + -6x = -18 + -24x + 24x Combine like terms: -24x + 24x = 0 84 + -6x = -18 + 0 84 + -6x = -18 Add '-84' to each side of the equation. 84 + -84 + -6x = -18 + -84 Combine like terms: 84 + -84 = 0 0 + -6x = -18 + -84 -6x = -18 + -84 Combine like terms: -18 + -84 = -102 -6x = -102 Divide each side by '-6'. x = 17 Simplifying x = 17
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