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Simplifying 4x + 7 + -6x = 4x + -5 Reorder the terms: 7 + 4x + -6x = 4x + -5 Combine like terms: 4x + -6x = -2x 7 + -2x = 4x + -5 Reorder the terms: 7 + -2x = -5 + 4x Solving 7 + -2x = -5 + 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 = -5 + 4x + -4x Combine like terms: -2x + -4x = -6x 7 + -6x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -6x = -5 + 0 7 + -6x = -5 Add '-7' to each side of the equation. 7 + -7 + -6x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -5 + -7 -6x = -5 + -7 Combine like terms: -5 + -7 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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