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Simplifying 6(x + -18) + -5(x + 15) = 5 + -1x Reorder the terms: 6(-18 + x) + -5(x + 15) = 5 + -1x (-18 * 6 + x * 6) + -5(x + 15) = 5 + -1x (-108 + 6x) + -5(x + 15) = 5 + -1x Reorder the terms: -108 + 6x + -5(15 + x) = 5 + -1x -108 + 6x + (15 * -5 + x * -5) = 5 + -1x -108 + 6x + (-75 + -5x) = 5 + -1x Reorder the terms: -108 + -75 + 6x + -5x = 5 + -1x Combine like terms: -108 + -75 = -183 -183 + 6x + -5x = 5 + -1x Combine like terms: 6x + -5x = 1x -183 + 1x = 5 + -1x Solving -183 + 1x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -183 + 1x + x = 5 + -1x + x Combine like terms: 1x + x = 2x -183 + 2x = 5 + -1x + x Combine like terms: -1x + x = 0 -183 + 2x = 5 + 0 -183 + 2x = 5 Add '183' to each side of the equation. -183 + 183 + 2x = 5 + 183 Combine like terms: -183 + 183 = 0 0 + 2x = 5 + 183 2x = 5 + 183 Combine like terms: 5 + 183 = 188 2x = 188 Divide each side by '2'. x = 94 Simplifying x = 94
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