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Simplifying 7x + -16 = 12x + 13 + -7 Reorder the terms: -16 + 7x = 12x + 13 + -7 Reorder the terms: -16 + 7x = 13 + -7 + 12x Combine like terms: 13 + -7 = 6 -16 + 7x = 6 + 12x Solving -16 + 7x = 6 + 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. -16 + 7x + -12x = 6 + 12x + -12x Combine like terms: 7x + -12x = -5x -16 + -5x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -5x = 6 + 0 -16 + -5x = 6 Add '16' to each side of the equation. -16 + 16 + -5x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 6 + 16 -5x = 6 + 16 Combine like terms: 6 + 16 = 22 -5x = 22 Divide each side by '-5'. x = -4.4 Simplifying x = -4.4
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