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Simplifying 4x + -9 + 5 + -4x + 8 = 4x + 7 + -7x Reorder the terms: -9 + 5 + 8 + 4x + -4x = 4x + 7 + -7x Combine like terms: -9 + 5 = -4 -4 + 8 + 4x + -4x = 4x + 7 + -7x Combine like terms: -4 + 8 = 4 4 + 4x + -4x = 4x + 7 + -7x Combine like terms: 4x + -4x = 0 4 + 0 = 4x + 7 + -7x 4 = 4x + 7 + -7x Reorder the terms: 4 = 7 + 4x + -7x Combine like terms: 4x + -7x = -3x 4 = 7 + -3x Solving 4 = 7 + -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 + 3x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 3x = 7 + 0 4 + 3x = 7 Add '-4' to each side of the equation. 4 + -4 + 3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 7 + -4 3x = 7 + -4 Combine like terms: 7 + -4 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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