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Simplifying 15x + -14 + 7x + 28 = 8x + 6 + -2x Reorder the terms: -14 + 28 + 15x + 7x = 8x + 6 + -2x Combine like terms: -14 + 28 = 14 14 + 15x + 7x = 8x + 6 + -2x Combine like terms: 15x + 7x = 22x 14 + 22x = 8x + 6 + -2x Reorder the terms: 14 + 22x = 6 + 8x + -2x Combine like terms: 8x + -2x = 6x 14 + 22x = 6 + 6x Solving 14 + 22x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 22x + -6x = 6 + 6x + -6x Combine like terms: 22x + -6x = 16x 14 + 16x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 16x = 6 + 0 14 + 16x = 6 Add '-14' to each side of the equation. 14 + -14 + 16x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = 6 + -14 16x = 6 + -14 Combine like terms: 6 + -14 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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