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Simplifying 8 + 3(x + 2) = 8(5 + 2x) Reorder the terms: 8 + 3(2 + x) = 8(5 + 2x) 8 + (2 * 3 + x * 3) = 8(5 + 2x) 8 + (6 + 3x) = 8(5 + 2x) Combine like terms: 8 + 6 = 14 14 + 3x = 8(5 + 2x) 14 + 3x = (5 * 8 + 2x * 8) 14 + 3x = (40 + 16x) Solving 14 + 3x = 40 + 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. 14 + 3x + -16x = 40 + 16x + -16x Combine like terms: 3x + -16x = -13x 14 + -13x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 14 + -13x = 40 + 0 14 + -13x = 40 Add '-14' to each side of the equation. 14 + -14 + -13x = 40 + -14 Combine like terms: 14 + -14 = 0 0 + -13x = 40 + -14 -13x = 40 + -14 Combine like terms: 40 + -14 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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