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Simplifying 4x + 7 + -6x = 5 + -4x + -4 Reorder the terms: 7 + 4x + -6x = 5 + -4x + -4 Combine like terms: 4x + -6x = -2x 7 + -2x = 5 + -4x + -4 Reorder the terms: 7 + -2x = 5 + -4 + -4x Combine like terms: 5 + -4 = 1 7 + -2x = 1 + -4x Solving 7 + -2x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -2x + 4x = 1 + -4x + 4x Combine like terms: -2x + 4x = 2x 7 + 2x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 2x = 1 + 0 7 + 2x = 1 Add '-7' to each side of the equation. 7 + -7 + 2x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 1 + -7 2x = 1 + -7 Combine like terms: 1 + -7 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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