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