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Simplifying 3x + 7 + -2(x + 6) + -7 = 5x + 6(3x + 2) Reorder the terms: 3x + 7 + -2(6 + x) + -7 = 5x + 6(3x + 2) 3x + 7 + (6 * -2 + x * -2) + -7 = 5x + 6(3x + 2) 3x + 7 + (-12 + -2x) + -7 = 5x + 6(3x + 2) Reorder the terms: 7 + -12 + -7 + 3x + -2x = 5x + 6(3x + 2) Combine like terms: 7 + -12 = -5 -5 + -7 + 3x + -2x = 5x + 6(3x + 2) Combine like terms: -5 + -7 = -12 -12 + 3x + -2x = 5x + 6(3x + 2) Combine like terms: 3x + -2x = 1x -12 + 1x = 5x + 6(3x + 2) Reorder the terms: -12 + 1x = 5x + 6(2 + 3x) -12 + 1x = 5x + (2 * 6 + 3x * 6) -12 + 1x = 5x + (12 + 18x) Reorder the terms: -12 + 1x = 12 + 5x + 18x Combine like terms: 5x + 18x = 23x -12 + 1x = 12 + 23x Solving -12 + 1x = 12 + 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. -12 + 1x + -23x = 12 + 23x + -23x Combine like terms: 1x + -23x = -22x -12 + -22x = 12 + 23x + -23x Combine like terms: 23x + -23x = 0 -12 + -22x = 12 + 0 -12 + -22x = 12 Add '12' to each side of the equation. -12 + 12 + -22x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -22x = 12 + 12 -22x = 12 + 12 Combine like terms: 12 + 12 = 24 -22x = 24 Divide each side by '-22'. x = -1.090909091 Simplifying x = -1.090909091
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