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Simplifying 54(18x + -162) = 9(30 + -15x) Reorder the terms: 54(-162 + 18x) = 9(30 + -15x) (-162 * 54 + 18x * 54) = 9(30 + -15x) (-8748 + 972x) = 9(30 + -15x) -8748 + 972x = (30 * 9 + -15x * 9) -8748 + 972x = (270 + -135x) Solving -8748 + 972x = 270 + -135x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135x' to each side of the equation. -8748 + 972x + 135x = 270 + -135x + 135x Combine like terms: 972x + 135x = 1107x -8748 + 1107x = 270 + -135x + 135x Combine like terms: -135x + 135x = 0 -8748 + 1107x = 270 + 0 -8748 + 1107x = 270 Add '8748' to each side of the equation. -8748 + 8748 + 1107x = 270 + 8748 Combine like terms: -8748 + 8748 = 0 0 + 1107x = 270 + 8748 1107x = 270 + 8748 Combine like terms: 270 + 8748 = 9018 1107x = 9018 Divide each side by '1107'. x = 8.146341463 Simplifying x = 8.146341463
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