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Simplifying x + -27 + -1(x + 3) = 18 + -3(x + -21) Reorder the terms: x + -27 + -1(3 + x) = 18 + -3(x + -21) x + -27 + (3 * -1 + x * -1) = 18 + -3(x + -21) x + -27 + (-3 + -1x) = 18 + -3(x + -21) Reorder the terms: -27 + -3 + x + -1x = 18 + -3(x + -21) Combine like terms: -27 + -3 = -30 -30 + x + -1x = 18 + -3(x + -21) Combine like terms: x + -1x = 0 -30 + 0 = 18 + -3(x + -21) -30 = 18 + -3(x + -21) Reorder the terms: -30 = 18 + -3(-21 + x) -30 = 18 + (-21 * -3 + x * -3) -30 = 18 + (63 + -3x) Combine like terms: 18 + 63 = 81 -30 = 81 + -3x Solving -30 = 81 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 3x = 81 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 3x = 81 + 0 -30 + 3x = 81 Add '30' to each side of the equation. -30 + 30 + 3x = 81 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 81 + 30 3x = 81 + 30 Combine like terms: 81 + 30 = 111 3x = 111 Divide each side by '3'. x = 37 Simplifying x = 37
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