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Simplifying 5(2x + 1) + 4x + -1 = -14 + 8x Reorder the terms: 5(1 + 2x) + 4x + -1 = -14 + 8x (1 * 5 + 2x * 5) + 4x + -1 = -14 + 8x (5 + 10x) + 4x + -1 = -14 + 8x Reorder the terms: 5 + -1 + 10x + 4x = -14 + 8x Combine like terms: 5 + -1 = 4 4 + 10x + 4x = -14 + 8x Combine like terms: 10x + 4x = 14x 4 + 14x = -14 + 8x Solving 4 + 14x = -14 + 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. 4 + 14x + -8x = -14 + 8x + -8x Combine like terms: 14x + -8x = 6x 4 + 6x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 6x = -14 + 0 4 + 6x = -14 Add '-4' to each side of the equation. 4 + -4 + 6x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -14 + -4 6x = -14 + -4 Combine like terms: -14 + -4 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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