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Simplifying 6(3 + -1x) = -5(2x + 9) + 18 (3 * 6 + -1x * 6) = -5(2x + 9) + 18 (18 + -6x) = -5(2x + 9) + 18 Reorder the terms: 18 + -6x = -5(9 + 2x) + 18 18 + -6x = (9 * -5 + 2x * -5) + 18 18 + -6x = (-45 + -10x) + 18 Reorder the terms: 18 + -6x = -45 + 18 + -10x Combine like terms: -45 + 18 = -27 18 + -6x = -27 + -10x Solving 18 + -6x = -27 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 18 + -6x + 10x = -27 + -10x + 10x Combine like terms: -6x + 10x = 4x 18 + 4x = -27 + -10x + 10x Combine like terms: -10x + 10x = 0 18 + 4x = -27 + 0 18 + 4x = -27 Add '-18' to each side of the equation. 18 + -18 + 4x = -27 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = -27 + -18 4x = -27 + -18 Combine like terms: -27 + -18 = -45 4x = -45 Divide each side by '4'. x = -11.25 Simplifying x = -11.25
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