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Simplifying 4x + 7 = 5x + -8 Reorder the terms: 7 + 4x = 5x + -8 Reorder the terms: 7 + 4x = -8 + 5x Solving 7 + 4x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 4x + -5x = -8 + 5x + -5x Combine like terms: 4x + -5x = -1x 7 + -1x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -1x = -8 + 0 7 + -1x = -8 Add '-7' to each side of the equation. 7 + -7 + -1x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -8 + -7 -1x = -8 + -7 Combine like terms: -8 + -7 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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