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Simplifying -9x + 12(x + 11) = 7x + 6(x + 2) Reorder the terms: -9x + 12(11 + x) = 7x + 6(x + 2) -9x + (11 * 12 + x * 12) = 7x + 6(x + 2) -9x + (132 + 12x) = 7x + 6(x + 2) Reorder the terms: 132 + -9x + 12x = 7x + 6(x + 2) Combine like terms: -9x + 12x = 3x 132 + 3x = 7x + 6(x + 2) Reorder the terms: 132 + 3x = 7x + 6(2 + x) 132 + 3x = 7x + (2 * 6 + x * 6) 132 + 3x = 7x + (12 + 6x) Reorder the terms: 132 + 3x = 12 + 7x + 6x Combine like terms: 7x + 6x = 13x 132 + 3x = 12 + 13x Solving 132 + 3x = 12 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 132 + 3x + -13x = 12 + 13x + -13x Combine like terms: 3x + -13x = -10x 132 + -10x = 12 + 13x + -13x Combine like terms: 13x + -13x = 0 132 + -10x = 12 + 0 132 + -10x = 12 Add '-132' to each side of the equation. 132 + -132 + -10x = 12 + -132 Combine like terms: 132 + -132 = 0 0 + -10x = 12 + -132 -10x = 12 + -132 Combine like terms: 12 + -132 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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