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Simplifying 4(x + -27) + -2(x + 54) = 72 + -7(x + -18) Reorder the terms: 4(-27 + x) + -2(x + 54) = 72 + -7(x + -18) (-27 * 4 + x * 4) + -2(x + 54) = 72 + -7(x + -18) (-108 + 4x) + -2(x + 54) = 72 + -7(x + -18) Reorder the terms: -108 + 4x + -2(54 + x) = 72 + -7(x + -18) -108 + 4x + (54 * -2 + x * -2) = 72 + -7(x + -18) -108 + 4x + (-108 + -2x) = 72 + -7(x + -18) Reorder the terms: -108 + -108 + 4x + -2x = 72 + -7(x + -18) Combine like terms: -108 + -108 = -216 -216 + 4x + -2x = 72 + -7(x + -18) Combine like terms: 4x + -2x = 2x -216 + 2x = 72 + -7(x + -18) Reorder the terms: -216 + 2x = 72 + -7(-18 + x) -216 + 2x = 72 + (-18 * -7 + x * -7) -216 + 2x = 72 + (126 + -7x) Combine like terms: 72 + 126 = 198 -216 + 2x = 198 + -7x Solving -216 + 2x = 198 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -216 + 2x + 7x = 198 + -7x + 7x Combine like terms: 2x + 7x = 9x -216 + 9x = 198 + -7x + 7x Combine like terms: -7x + 7x = 0 -216 + 9x = 198 + 0 -216 + 9x = 198 Add '216' to each side of the equation. -216 + 216 + 9x = 198 + 216 Combine like terms: -216 + 216 = 0 0 + 9x = 198 + 216 9x = 198 + 216 Combine like terms: 198 + 216 = 414 9x = 414 Divide each side by '9'. x = 46 Simplifying x = 46
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