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Simplifying 3(2x + 5) + 8 = 4(x + -1) Reorder the terms: 3(5 + 2x) + 8 = 4(x + -1) (5 * 3 + 2x * 3) + 8 = 4(x + -1) (15 + 6x) + 8 = 4(x + -1) Reorder the terms: 15 + 8 + 6x = 4(x + -1) Combine like terms: 15 + 8 = 23 23 + 6x = 4(x + -1) Reorder the terms: 23 + 6x = 4(-1 + x) 23 + 6x = (-1 * 4 + x * 4) 23 + 6x = (-4 + 4x) Solving 23 + 6x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 23 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x 23 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 23 + 2x = -4 + 0 23 + 2x = -4 Add '-23' to each side of the equation. 23 + -23 + 2x = -4 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = -4 + -23 2x = -4 + -23 Combine like terms: -4 + -23 = -27 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5
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