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Simplifying 12(x + -3) + -10 = 29x + -165 Reorder the terms: 12(-3 + x) + -10 = 29x + -165 (-3 * 12 + x * 12) + -10 = 29x + -165 (-36 + 12x) + -10 = 29x + -165 Reorder the terms: -36 + -10 + 12x = 29x + -165 Combine like terms: -36 + -10 = -46 -46 + 12x = 29x + -165 Reorder the terms: -46 + 12x = -165 + 29x Solving -46 + 12x = -165 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -46 + 12x + -29x = -165 + 29x + -29x Combine like terms: 12x + -29x = -17x -46 + -17x = -165 + 29x + -29x Combine like terms: 29x + -29x = 0 -46 + -17x = -165 + 0 -46 + -17x = -165 Add '46' to each side of the equation. -46 + 46 + -17x = -165 + 46 Combine like terms: -46 + 46 = 0 0 + -17x = -165 + 46 -17x = -165 + 46 Combine like terms: -165 + 46 = -119 -17x = -119 Divide each side by '-17'. x = 7 Simplifying x = 7
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