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Simplifying 5x + 4 + 3x + -24 + 114 + 2y = 180 Reorder the terms: 4 + -24 + 114 + 5x + 3x + 2y = 180 Combine like terms: 4 + -24 = -20 -20 + 114 + 5x + 3x + 2y = 180 Combine like terms: -20 + 114 = 94 94 + 5x + 3x + 2y = 180 Combine like terms: 5x + 3x = 8x 94 + 8x + 2y = 180 Solving 94 + 8x + 2y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-94' to each side of the equation. 94 + 8x + -94 + 2y = 180 + -94 Reorder the terms: 94 + -94 + 8x + 2y = 180 + -94 Combine like terms: 94 + -94 = 0 0 + 8x + 2y = 180 + -94 8x + 2y = 180 + -94 Combine like terms: 180 + -94 = 86 8x + 2y = 86 Add '-2y' to each side of the equation. 8x + 2y + -2y = 86 + -2y Combine like terms: 2y + -2y = 0 8x + 0 = 86 + -2y 8x = 86 + -2y Divide each side by '8'. x = 10.75 + -0.25y Simplifying x = 10.75 + -0.25y
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