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Simplifying 8 + 3(x + 2) = 4x + -1(2x + 5) Reorder the terms: 8 + 3(2 + x) = 4x + -1(2x + 5) 8 + (2 * 3 + x * 3) = 4x + -1(2x + 5) 8 + (6 + 3x) = 4x + -1(2x + 5) Combine like terms: 8 + 6 = 14 14 + 3x = 4x + -1(2x + 5) Reorder the terms: 14 + 3x = 4x + -1(5 + 2x) 14 + 3x = 4x + (5 * -1 + 2x * -1) 14 + 3x = 4x + (-5 + -2x) Reorder the terms: 14 + 3x = -5 + 4x + -2x Combine like terms: 4x + -2x = 2x 14 + 3x = -5 + 2x Solving 14 + 3x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 3x + -2x = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x 14 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 1x = -5 + 0 14 + 1x = -5 Add '-14' to each side of the equation. 14 + -14 + 1x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -5 + -14 1x = -5 + -14 Combine like terms: -5 + -14 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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