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Simplifying (8x + 2z + -1.5) + (6x + y + 1) + (11y + -2z + 2) = 61.5 Reorder the terms: (-1.5 + 8x + 2z) + (6x + y + 1) + (11y + -2z + 2) = 61.5 Remove parenthesis around (-1.5 + 8x + 2z) -1.5 + 8x + 2z + (6x + y + 1) + (11y + -2z + 2) = 61.5 Reorder the terms: -1.5 + 8x + 2z + (1 + 6x + y) + (11y + -2z + 2) = 61.5 Remove parenthesis around (1 + 6x + y) -1.5 + 8x + 2z + 1 + 6x + y + (11y + -2z + 2) = 61.5 Reorder the terms: -1.5 + 8x + 2z + 1 + 6x + y + (2 + 11y + -2z) = 61.5 Remove parenthesis around (2 + 11y + -2z) -1.5 + 8x + 2z + 1 + 6x + y + 2 + 11y + -2z = 61.5 Reorder the terms: -1.5 + 1 + 2 + 8x + 6x + y + 11y + 2z + -2z = 61.5 Combine like terms: -1.5 + 1 = -0.5 -0.5 + 2 + 8x + 6x + y + 11y + 2z + -2z = 61.5 Combine like terms: -0.5 + 2 = 1.5 1.5 + 8x + 6x + y + 11y + 2z + -2z = 61.5 Combine like terms: 8x + 6x = 14x 1.5 + 14x + y + 11y + 2z + -2z = 61.5 Combine like terms: y + 11y = 12y 1.5 + 14x + 12y + 2z + -2z = 61.5 Combine like terms: 2z + -2z = 0 1.5 + 14x + 12y + 0 = 61.5 1.5 + 14x + 12y = 61.5 Solving 1.5 + 14x + 12y = 61.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + 14x + -1.5 + 12y = 61.5 + -1.5 Reorder the terms: 1.5 + -1.5 + 14x + 12y = 61.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 14x + 12y = 61.5 + -1.5 14x + 12y = 61.5 + -1.5 Combine like terms: 61.5 + -1.5 = 60 14x + 12y = 60 Add '-12y' to each side of the equation. 14x + 12y + -12y = 60 + -12y Combine like terms: 12y + -12y = 0 14x + 0 = 60 + -12y 14x = 60 + -12y Divide each side by '14'. x = 4.285714286 + -0.8571428571y Simplifying x = 4.285714286 + -0.8571428571y
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