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Simplifying 2(3x + -18) = -5(x + -45) + 3 Reorder the terms: 2(-18 + 3x) = -5(x + -45) + 3 (-18 * 2 + 3x * 2) = -5(x + -45) + 3 (-36 + 6x) = -5(x + -45) + 3 Reorder the terms: -36 + 6x = -5(-45 + x) + 3 -36 + 6x = (-45 * -5 + x * -5) + 3 -36 + 6x = (225 + -5x) + 3 Reorder the terms: -36 + 6x = 225 + 3 + -5x Combine like terms: 225 + 3 = 228 -36 + 6x = 228 + -5x Solving -36 + 6x = 228 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -36 + 6x + 5x = 228 + -5x + 5x Combine like terms: 6x + 5x = 11x -36 + 11x = 228 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + 11x = 228 + 0 -36 + 11x = 228 Add '36' to each side of the equation. -36 + 36 + 11x = 228 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = 228 + 36 11x = 228 + 36 Combine like terms: 228 + 36 = 264 11x = 264 Divide each side by '11'. x = 24 Simplifying x = 24
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