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Simplifying 7x + 8 + -4 = 10 + 3x + -24 Reorder the terms: 8 + -4 + 7x = 10 + 3x + -24 Combine like terms: 8 + -4 = 4 4 + 7x = 10 + 3x + -24 Reorder the terms: 4 + 7x = 10 + -24 + 3x Combine like terms: 10 + -24 = -14 4 + 7x = -14 + 3x Solving 4 + 7x = -14 + 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. 4 + 7x + -3x = -14 + 3x + -3x Combine like terms: 7x + -3x = 4x 4 + 4x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 4x = -14 + 0 4 + 4x = -14 Add '-4' to each side of the equation. 4 + -4 + 4x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -14 + -4 4x = -14 + -4 Combine like terms: -14 + -4 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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