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Simplifying 16x + 14x + -19 + 7 = 30 + 22x + 14 Reorder the terms: -19 + 7 + 16x + 14x = 30 + 22x + 14 Combine like terms: -19 + 7 = -12 -12 + 16x + 14x = 30 + 22x + 14 Combine like terms: 16x + 14x = 30x -12 + 30x = 30 + 22x + 14 Reorder the terms: -12 + 30x = 30 + 14 + 22x Combine like terms: 30 + 14 = 44 -12 + 30x = 44 + 22x Solving -12 + 30x = 44 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -12 + 30x + -22x = 44 + 22x + -22x Combine like terms: 30x + -22x = 8x -12 + 8x = 44 + 22x + -22x Combine like terms: 22x + -22x = 0 -12 + 8x = 44 + 0 -12 + 8x = 44 Add '12' to each side of the equation. -12 + 12 + 8x = 44 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 44 + 12 8x = 44 + 12 Combine like terms: 44 + 12 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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