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Simplifying 8x + 2y + 24 = 7x + 2y + 30 Reorder the terms: 24 + 8x + 2y = 7x + 2y + 30 Reorder the terms: 24 + 8x + 2y = 30 + 7x + 2y Add '-2y' to each side of the equation. 24 + 8x + 2y + -2y = 30 + 7x + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 8x + 0 = 30 + 7x + 2y + -2y 24 + 8x = 30 + 7x + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 8x = 30 + 7x + 0 24 + 8x = 30 + 7x Solving 24 + 8x = 30 + 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. 24 + 8x + -7x = 30 + 7x + -7x Combine like terms: 8x + -7x = 1x 24 + 1x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + 1x = 30 + 0 24 + 1x = 30 Add '-24' to each side of the equation. 24 + -24 + 1x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 30 + -24 1x = 30 + -24 Combine like terms: 30 + -24 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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