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Simplifying 2x + 2 + 3y + -3 = 4x + 8y + -3x + 3y + 6 Reorder the terms: 2 + -3 + 2x + 3y = 4x + 8y + -3x + 3y + 6 Combine like terms: 2 + -3 = -1 -1 + 2x + 3y = 4x + 8y + -3x + 3y + 6 Reorder the terms: -1 + 2x + 3y = 6 + 4x + -3x + 8y + 3y Combine like terms: 4x + -3x = 1x -1 + 2x + 3y = 6 + 1x + 8y + 3y Combine like terms: 8y + 3y = 11y -1 + 2x + 3y = 6 + 1x + 11y Solving -1 + 2x + 3y = 6 + 1x + 11y 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. -1 + 2x + -1x + 3y = 6 + 1x + -1x + 11y Combine like terms: 2x + -1x = 1x -1 + 1x + 3y = 6 + 1x + -1x + 11y Combine like terms: 1x + -1x = 0 -1 + 1x + 3y = 6 + 0 + 11y -1 + 1x + 3y = 6 + 11y Add '1' to each side of the equation. -1 + 1x + 1 + 3y = 6 + 1 + 11y Reorder the terms: -1 + 1 + 1x + 3y = 6 + 1 + 11y Combine like terms: -1 + 1 = 0 0 + 1x + 3y = 6 + 1 + 11y 1x + 3y = 6 + 1 + 11y Combine like terms: 6 + 1 = 7 1x + 3y = 7 + 11y Add '-3y' to each side of the equation. 1x + 3y + -3y = 7 + 11y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 7 + 11y + -3y 1x = 7 + 11y + -3y Combine like terms: 11y + -3y = 8y 1x = 7 + 8y Divide each side by '1'. x = 7 + 8y Simplifying x = 7 + 8y
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