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Simplifying 7 + -2(3 + x + y) = 3x + -2y 7 + (3 * -2 + x * -2 + y * -2) = 3x + -2y 7 + (-6 + -2x + -2y) = 3x + -2y Combine like terms: 7 + -6 = 1 1 + -2x + -2y = 3x + -2y Add '2y' to each side of the equation. 1 + -2x + -2y + 2y = 3x + -2y + 2y Combine like terms: -2y + 2y = 0 1 + -2x + 0 = 3x + -2y + 2y 1 + -2x = 3x + -2y + 2y Combine like terms: -2y + 2y = 0 1 + -2x = 3x + 0 1 + -2x = 3x Solving 1 + -2x = 3x 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. 1 + -2x + -3x = 3x + -3x Combine like terms: -2x + -3x = -5x 1 + -5x = 3x + -3x Combine like terms: 3x + -3x = 0 1 + -5x = 0 Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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