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Simplifying 8(2x + -18) + -3(5x + -45) = 0 Reorder the terms: 8(-18 + 2x) + -3(5x + -45) = 0 (-18 * 8 + 2x * 8) + -3(5x + -45) = 0 (-144 + 16x) + -3(5x + -45) = 0 Reorder the terms: -144 + 16x + -3(-45 + 5x) = 0 -144 + 16x + (-45 * -3 + 5x * -3) = 0 -144 + 16x + (135 + -15x) = 0 Reorder the terms: -144 + 135 + 16x + -15x = 0 Combine like terms: -144 + 135 = -9 -9 + 16x + -15x = 0 Combine like terms: 16x + -15x = 1x -9 + 1x = 0 Solving -9 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 0 + 9 1x = 0 + 9 Combine like terms: 0 + 9 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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