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Simplifying 15(x + 12) = 9(x + -42) Reorder the terms: 15(12 + x) = 9(x + -42) (12 * 15 + x * 15) = 9(x + -42) (180 + 15x) = 9(x + -42) Reorder the terms: 180 + 15x = 9(-42 + x) 180 + 15x = (-42 * 9 + x * 9) 180 + 15x = (-378 + 9x) Solving 180 + 15x = -378 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 180 + 15x + -9x = -378 + 9x + -9x Combine like terms: 15x + -9x = 6x 180 + 6x = -378 + 9x + -9x Combine like terms: 9x + -9x = 0 180 + 6x = -378 + 0 180 + 6x = -378 Add '-180' to each side of the equation. 180 + -180 + 6x = -378 + -180 Combine like terms: 180 + -180 = 0 0 + 6x = -378 + -180 6x = -378 + -180 Combine like terms: -378 + -180 = -558 6x = -558 Divide each side by '6'. x = -93 Simplifying x = -93
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