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Simplifying -6(5x + 3) = 2(x + 9) Reorder the terms: -6(3 + 5x) = 2(x + 9) (3 * -6 + 5x * -6) = 2(x + 9) (-18 + -30x) = 2(x + 9) Reorder the terms: -18 + -30x = 2(9 + x) -18 + -30x = (9 * 2 + x * 2) -18 + -30x = (18 + 2x) Solving -18 + -30x = 18 + 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. -18 + -30x + -2x = 18 + 2x + -2x Combine like terms: -30x + -2x = -32x -18 + -32x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + -32x = 18 + 0 -18 + -32x = 18 Add '18' to each side of the equation. -18 + 18 + -32x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -32x = 18 + 18 -32x = 18 + 18 Combine like terms: 18 + 18 = 36 -32x = 36 Divide each side by '-32'. x = -1.125 Simplifying x = -1.125
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