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Simplifying 4x + 20 + -5 = 7x + 8 + -10x Reorder the terms: 20 + -5 + 4x = 7x + 8 + -10x Combine like terms: 20 + -5 = 15 15 + 4x = 7x + 8 + -10x Reorder the terms: 15 + 4x = 8 + 7x + -10x Combine like terms: 7x + -10x = -3x 15 + 4x = 8 + -3x Solving 15 + 4x = 8 + -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. 15 + 4x + 3x = 8 + -3x + 3x Combine like terms: 4x + 3x = 7x 15 + 7x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 7x = 8 + 0 15 + 7x = 8 Add '-15' to each side of the equation. 15 + -15 + 7x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 8 + -15 7x = 8 + -15 Combine like terms: 8 + -15 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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