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