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Simplifying 5x + -30 + 6 = 7x + 14 + -6 Reorder the terms: -30 + 6 + 5x = 7x + 14 + -6 Combine like terms: -30 + 6 = -24 -24 + 5x = 7x + 14 + -6 Reorder the terms: -24 + 5x = 14 + -6 + 7x Combine like terms: 14 + -6 = 8 -24 + 5x = 8 + 7x Solving -24 + 5x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 5x + -7x = 8 + 7x + -7x Combine like terms: 5x + -7x = -2x -24 + -2x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -2x = 8 + 0 -24 + -2x = 8 Add '24' to each side of the equation. -24 + 24 + -2x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 8 + 24 -2x = 8 + 24 Combine like terms: 8 + 24 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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