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Simplifying 2x + 8y + 18 = 3x + 4y + -21 Reorder the terms: 18 + 2x + 8y = 3x + 4y + -21 Reorder the terms: 18 + 2x + 8y = -21 + 3x + 4y Solving 18 + 2x + 8y = -21 + 3x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 2x + -3x + 8y = -21 + 3x + -3x + 4y Combine like terms: 2x + -3x = -1x 18 + -1x + 8y = -21 + 3x + -3x + 4y Combine like terms: 3x + -3x = 0 18 + -1x + 8y = -21 + 0 + 4y 18 + -1x + 8y = -21 + 4y Add '-18' to each side of the equation. 18 + -1x + -18 + 8y = -21 + -18 + 4y Reorder the terms: 18 + -18 + -1x + 8y = -21 + -18 + 4y Combine like terms: 18 + -18 = 0 0 + -1x + 8y = -21 + -18 + 4y -1x + 8y = -21 + -18 + 4y Combine like terms: -21 + -18 = -39 -1x + 8y = -39 + 4y Add '-8y' to each side of the equation. -1x + 8y + -8y = -39 + 4y + -8y Combine like terms: 8y + -8y = 0 -1x + 0 = -39 + 4y + -8y -1x = -39 + 4y + -8y Combine like terms: 4y + -8y = -4y -1x = -39 + -4y Divide each side by '-1'. x = 39 + 4y Simplifying x = 39 + 4y
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