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Simplifying 4x + 14 + 9x + -15 = 12x + 15 Reorder the terms: 14 + -15 + 4x + 9x = 12x + 15 Combine like terms: 14 + -15 = -1 -1 + 4x + 9x = 12x + 15 Combine like terms: 4x + 9x = 13x -1 + 13x = 12x + 15 Reorder the terms: -1 + 13x = 15 + 12x Solving -1 + 13x = 15 + 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. -1 + 13x + -12x = 15 + 12x + -12x Combine like terms: 13x + -12x = 1x -1 + 1x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + 1x = 15 + 0 -1 + 1x = 15 Add '1' to each side of the equation. -1 + 1 + 1x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 15 + 1 1x = 15 + 1 Combine like terms: 15 + 1 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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