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Simplifying 5x + -14 = x + -1(24 + 4x) Reorder the terms: -14 + 5x = x + -1(24 + 4x) -14 + 5x = x + (24 * -1 + 4x * -1) -14 + 5x = x + (-24 + -4x) Reorder the terms: -14 + 5x = -24 + x + -4x Combine like terms: x + -4x = -3x -14 + 5x = -24 + -3x Solving -14 + 5x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 5x + 3x = -24 + -3x + 3x Combine like terms: 5x + 3x = 8x -14 + 8x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 8x = -24 + 0 -14 + 8x = -24 Add '14' to each side of the equation. -14 + 14 + 8x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = -24 + 14 8x = -24 + 14 Combine like terms: -24 + 14 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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