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Simplifying 6x + 7 + -4x + 2 + -32 = 12x + -15 + 14 Reorder the terms: 7 + 2 + -32 + 6x + -4x = 12x + -15 + 14 Combine like terms: 7 + 2 = 9 9 + -32 + 6x + -4x = 12x + -15 + 14 Combine like terms: 9 + -32 = -23 -23 + 6x + -4x = 12x + -15 + 14 Combine like terms: 6x + -4x = 2x -23 + 2x = 12x + -15 + 14 Reorder the terms: -23 + 2x = -15 + 14 + 12x Combine like terms: -15 + 14 = -1 -23 + 2x = -1 + 12x Solving -23 + 2x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -23 + 2x + -12x = -1 + 12x + -12x Combine like terms: 2x + -12x = -10x -23 + -10x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + -10x = -1 + 0 -23 + -10x = -1 Add '23' to each side of the equation. -23 + 23 + -10x = -1 + 23 Combine like terms: -23 + 23 = 0 0 + -10x = -1 + 23 -10x = -1 + 23 Combine like terms: -1 + 23 = 22 -10x = 22 Divide each side by '-10'. x = -2.2 Simplifying x = -2.2
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