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Simplifying 5x + 3y + 8x + -7 + 3x + -1y = x + 27 Reorder the terms: -7 + 5x + 8x + 3x + 3y + -1y = x + 27 Combine like terms: 5x + 8x = 13x -7 + 13x + 3x + 3y + -1y = x + 27 Combine like terms: 13x + 3x = 16x -7 + 16x + 3y + -1y = x + 27 Combine like terms: 3y + -1y = 2y -7 + 16x + 2y = x + 27 Reorder the terms: -7 + 16x + 2y = 27 + x Solving -7 + 16x + 2y = 27 + 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. -7 + 16x + -1x + 2y = 27 + x + -1x Combine like terms: 16x + -1x = 15x -7 + 15x + 2y = 27 + x + -1x Combine like terms: x + -1x = 0 -7 + 15x + 2y = 27 + 0 -7 + 15x + 2y = 27 Add '7' to each side of the equation. -7 + 15x + 7 + 2y = 27 + 7 Reorder the terms: -7 + 7 + 15x + 2y = 27 + 7 Combine like terms: -7 + 7 = 0 0 + 15x + 2y = 27 + 7 15x + 2y = 27 + 7 Combine like terms: 27 + 7 = 34 15x + 2y = 34 Add '-2y' to each side of the equation. 15x + 2y + -2y = 34 + -2y Combine like terms: 2y + -2y = 0 15x + 0 = 34 + -2y 15x = 34 + -2y Divide each side by '15'. x = 2.266666667 + -0.1333333333y Simplifying x = 2.266666667 + -0.1333333333y
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