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Simplifying 12x + -15 + 10x + 14 = 16x + 56 + 9 Reorder the terms: -15 + 14 + 12x + 10x = 16x + 56 + 9 Combine like terms: -15 + 14 = -1 -1 + 12x + 10x = 16x + 56 + 9 Combine like terms: 12x + 10x = 22x -1 + 22x = 16x + 56 + 9 Reorder the terms: -1 + 22x = 56 + 9 + 16x Combine like terms: 56 + 9 = 65 -1 + 22x = 65 + 16x Solving -1 + 22x = 65 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -1 + 22x + -16x = 65 + 16x + -16x Combine like terms: 22x + -16x = 6x -1 + 6x = 65 + 16x + -16x Combine like terms: 16x + -16x = 0 -1 + 6x = 65 + 0 -1 + 6x = 65 Add '1' to each side of the equation. -1 + 1 + 6x = 65 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 65 + 1 6x = 65 + 1 Combine like terms: 65 + 1 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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