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Simplifying 11(x + -7) + -12 = 30x + -279 Reorder the terms: 11(-7 + x) + -12 = 30x + -279 (-7 * 11 + x * 11) + -12 = 30x + -279 (-77 + 11x) + -12 = 30x + -279 Reorder the terms: -77 + -12 + 11x = 30x + -279 Combine like terms: -77 + -12 = -89 -89 + 11x = 30x + -279 Reorder the terms: -89 + 11x = -279 + 30x Solving -89 + 11x = -279 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -89 + 11x + -30x = -279 + 30x + -30x Combine like terms: 11x + -30x = -19x -89 + -19x = -279 + 30x + -30x Combine like terms: 30x + -30x = 0 -89 + -19x = -279 + 0 -89 + -19x = -279 Add '89' to each side of the equation. -89 + 89 + -19x = -279 + 89 Combine like terms: -89 + 89 = 0 0 + -19x = -279 + 89 -19x = -279 + 89 Combine like terms: -279 + 89 = -190 -19x = -190 Divide each side by '-19'. x = 10 Simplifying x = 10
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