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Simplifying 6x + 14 = 8(x + 1) Reorder the terms: 14 + 6x = 8(x + 1) Reorder the terms: 14 + 6x = 8(1 + x) 14 + 6x = (1 * 8 + x * 8) 14 + 6x = (8 + 8x) Solving 14 + 6x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 6x + -8x = 8 + 8x + -8x Combine like terms: 6x + -8x = -2x 14 + -2x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -2x = 8 + 0 14 + -2x = 8 Add '-14' to each side of the equation. 14 + -14 + -2x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 8 + -14 -2x = 8 + -14 Combine like terms: 8 + -14 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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