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Simplifying 8(x + 2) + 4x + 6 = 6x + 7 Reorder the terms: 8(2 + x) + 4x + 6 = 6x + 7 (2 * 8 + x * 8) + 4x + 6 = 6x + 7 (16 + 8x) + 4x + 6 = 6x + 7 Reorder the terms: 16 + 6 + 8x + 4x = 6x + 7 Combine like terms: 16 + 6 = 22 22 + 8x + 4x = 6x + 7 Combine like terms: 8x + 4x = 12x 22 + 12x = 6x + 7 Reorder the terms: 22 + 12x = 7 + 6x Solving 22 + 12x = 7 + 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. 22 + 12x + -6x = 7 + 6x + -6x Combine like terms: 12x + -6x = 6x 22 + 6x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + 6x = 7 + 0 22 + 6x = 7 Add '-22' to each side of the equation. 22 + -22 + 6x = 7 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = 7 + -22 6x = 7 + -22 Combine like terms: 7 + -22 = -15 6x = -15 Divide each side by '6'. x = -2.5 Simplifying x = -2.5
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