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Simplifying 6(4x + -6) + -1x = -151 Reorder the terms: 6(-6 + 4x) + -1x = -151 (-6 * 6 + 4x * 6) + -1x = -151 (-36 + 24x) + -1x = -151 Combine like terms: 24x + -1x = 23x -36 + 23x = -151 Solving -36 + 23x = -151 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 23x = -151 + 36 Combine like terms: -36 + 36 = 0 0 + 23x = -151 + 36 23x = -151 + 36 Combine like terms: -151 + 36 = -115 23x = -115 Divide each side by '23'. x = -5 Simplifying x = -5
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