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Simplifying 3x + 7 = 4x + -5 Reorder the terms: 7 + 3x = 4x + -5 Reorder the terms: 7 + 3x = -5 + 4x Solving 7 + 3x = -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 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x 7 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -1x = -5 + 0 7 + -1x = -5 Add '-7' to each side of the equation. 7 + -7 + -1x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -5 + -7 -1x = -5 + -7 Combine like terms: -5 + -7 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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