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Simplifying -2y + 5y + -9 + 2x = 3(y + -4) + -5 + x Reorder the terms: -9 + 2x + -2y + 5y = 3(y + -4) + -5 + x Combine like terms: -2y + 5y = 3y -9 + 2x + 3y = 3(y + -4) + -5 + x Reorder the terms: -9 + 2x + 3y = 3(-4 + y) + -5 + x -9 + 2x + 3y = (-4 * 3 + y * 3) + -5 + x -9 + 2x + 3y = (-12 + 3y) + -5 + x Reorder the terms: -9 + 2x + 3y = -12 + -5 + x + 3y Combine like terms: -12 + -5 = -17 -9 + 2x + 3y = -17 + x + 3y Add '-3y' to each side of the equation. -9 + 2x + 3y + -3y = -17 + x + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + 2x + 0 = -17 + x + 3y + -3y -9 + 2x = -17 + x + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + 2x = -17 + x + 0 -9 + 2x = -17 + x Solving -9 + 2x = -17 + x 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. -9 + 2x + -1x = -17 + x + -1x Combine like terms: 2x + -1x = 1x -9 + 1x = -17 + x + -1x Combine like terms: x + -1x = 0 -9 + 1x = -17 + 0 -9 + 1x = -17 Add '9' to each side of the equation. -9 + 9 + 1x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -17 + 9 1x = -17 + 9 Combine like terms: -17 + 9 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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