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Simplifying 4x + -7x + 56 = 5x + 40 Reorder the terms: 56 + 4x + -7x = 5x + 40 Combine like terms: 4x + -7x = -3x 56 + -3x = 5x + 40 Reorder the terms: 56 + -3x = 40 + 5x Solving 56 + -3x = 40 + 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. 56 + -3x + -5x = 40 + 5x + -5x Combine like terms: -3x + -5x = -8x 56 + -8x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 56 + -8x = 40 + 0 56 + -8x = 40 Add '-56' to each side of the equation. 56 + -56 + -8x = 40 + -56 Combine like terms: 56 + -56 = 0 0 + -8x = 40 + -56 -8x = 40 + -56 Combine like terms: 40 + -56 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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