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Simplifying 5x + 8y + 7 = 7x + 11 Reorder the terms: 7 + 5x + 8y = 7x + 11 Reorder the terms: 7 + 5x + 8y = 11 + 7x Solving 7 + 5x + 8y = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 5x + -7x + 8y = 11 + 7x + -7x Combine like terms: 5x + -7x = -2x 7 + -2x + 8y = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -2x + 8y = 11 + 0 7 + -2x + 8y = 11 Add '-7' to each side of the equation. 7 + -2x + -7 + 8y = 11 + -7 Reorder the terms: 7 + -7 + -2x + 8y = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -2x + 8y = 11 + -7 -2x + 8y = 11 + -7 Combine like terms: 11 + -7 = 4 -2x + 8y = 4 Add '-8y' to each side of the equation. -2x + 8y + -8y = 4 + -8y Combine like terms: 8y + -8y = 0 -2x + 0 = 4 + -8y -2x = 4 + -8y Divide each side by '-2'. x = -2 + 4y Simplifying x = -2 + 4y
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