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Simplifying 4x + -5x + 7 = 2y + x + -4 Reorder the terms: 7 + 4x + -5x = 2y + x + -4 Combine like terms: 4x + -5x = -1x 7 + -1x = 2y + x + -4 Reorder the terms: 7 + -1x = -4 + x + 2y Solving 7 + -1x = -4 + x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -1x + -1x = -4 + x + -1x + 2y Combine like terms: -1x + -1x = -2x 7 + -2x = -4 + x + -1x + 2y Combine like terms: x + -1x = 0 7 + -2x = -4 + 0 + 2y 7 + -2x = -4 + 2y Add '-7' to each side of the equation. 7 + -7 + -2x = -4 + -7 + 2y Combine like terms: 7 + -7 = 0 0 + -2x = -4 + -7 + 2y -2x = -4 + -7 + 2y Combine like terms: -4 + -7 = -11 -2x = -11 + 2y Divide each side by '-2'. x = 5.5 + -1y Simplifying x = 5.5 + -1y
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