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Simplifying 6(x + -10) + -7 = 23x + -118 Reorder the terms: 6(-10 + x) + -7 = 23x + -118 (-10 * 6 + x * 6) + -7 = 23x + -118 (-60 + 6x) + -7 = 23x + -118 Reorder the terms: -60 + -7 + 6x = 23x + -118 Combine like terms: -60 + -7 = -67 -67 + 6x = 23x + -118 Reorder the terms: -67 + 6x = -118 + 23x Solving -67 + 6x = -118 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -67 + 6x + -23x = -118 + 23x + -23x Combine like terms: 6x + -23x = -17x -67 + -17x = -118 + 23x + -23x Combine like terms: 23x + -23x = 0 -67 + -17x = -118 + 0 -67 + -17x = -118 Add '67' to each side of the equation. -67 + 67 + -17x = -118 + 67 Combine like terms: -67 + 67 = 0 0 + -17x = -118 + 67 -17x = -118 + 67 Combine like terms: -118 + 67 = -51 -17x = -51 Divide each side by '-17'. x = 3 Simplifying x = 3
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