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Simplifying 5(x + -18) + -5(x + 63) = 36 + -9(x + -54) Reorder the terms: 5(-18 + x) + -5(x + 63) = 36 + -9(x + -54) (-18 * 5 + x * 5) + -5(x + 63) = 36 + -9(x + -54) (-90 + 5x) + -5(x + 63) = 36 + -9(x + -54) Reorder the terms: -90 + 5x + -5(63 + x) = 36 + -9(x + -54) -90 + 5x + (63 * -5 + x * -5) = 36 + -9(x + -54) -90 + 5x + (-315 + -5x) = 36 + -9(x + -54) Reorder the terms: -90 + -315 + 5x + -5x = 36 + -9(x + -54) Combine like terms: -90 + -315 = -405 -405 + 5x + -5x = 36 + -9(x + -54) Combine like terms: 5x + -5x = 0 -405 + 0 = 36 + -9(x + -54) -405 = 36 + -9(x + -54) Reorder the terms: -405 = 36 + -9(-54 + x) -405 = 36 + (-54 * -9 + x * -9) -405 = 36 + (486 + -9x) Combine like terms: 36 + 486 = 522 -405 = 522 + -9x Solving -405 = 522 + -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. -405 + 9x = 522 + -9x + 9x Combine like terms: -9x + 9x = 0 -405 + 9x = 522 + 0 -405 + 9x = 522 Add '405' to each side of the equation. -405 + 405 + 9x = 522 + 405 Combine like terms: -405 + 405 = 0 0 + 9x = 522 + 405 9x = 522 + 405 Combine like terms: 522 + 405 = 927 9x = 927 Divide each side by '9'. x = 103 Simplifying x = 103
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