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Simplifying 12x + -6 + -5 = 15x + -14 + -24 Reorder the terms: -6 + -5 + 12x = 15x + -14 + -24 Combine like terms: -6 + -5 = -11 -11 + 12x = 15x + -14 + -24 Reorder the terms: -11 + 12x = -14 + -24 + 15x Combine like terms: -14 + -24 = -38 -11 + 12x = -38 + 15x Solving -11 + 12x = -38 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -11 + 12x + -15x = -38 + 15x + -15x Combine like terms: 12x + -15x = -3x -11 + -3x = -38 + 15x + -15x Combine like terms: 15x + -15x = 0 -11 + -3x = -38 + 0 -11 + -3x = -38 Add '11' to each side of the equation. -11 + 11 + -3x = -38 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = -38 + 11 -3x = -38 + 11 Combine like terms: -38 + 11 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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