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Simplifying 5(x + -6) + -7(8 + 9x) = 162 Reorder the terms: 5(-6 + x) + -7(8 + 9x) = 162 (-6 * 5 + x * 5) + -7(8 + 9x) = 162 (-30 + 5x) + -7(8 + 9x) = 162 -30 + 5x + (8 * -7 + 9x * -7) = 162 -30 + 5x + (-56 + -63x) = 162 Reorder the terms: -30 + -56 + 5x + -63x = 162 Combine like terms: -30 + -56 = -86 -86 + 5x + -63x = 162 Combine like terms: 5x + -63x = -58x -86 + -58x = 162 Solving -86 + -58x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + -58x = 162 + 86 Combine like terms: -86 + 86 = 0 0 + -58x = 162 + 86 -58x = 162 + 86 Combine like terms: 162 + 86 = 248 -58x = 248 Divide each side by '-58'. x = -4.275862069 Simplifying x = -4.275862069
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