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Simplifying 5 + -1(x + 4) + 3(2y + 1) + -4x + 7y = 0 Reorder the terms: 5 + -1(4 + x) + 3(2y + 1) + -4x + 7y = 0 5 + (4 * -1 + x * -1) + 3(2y + 1) + -4x + 7y = 0 5 + (-4 + -1x) + 3(2y + 1) + -4x + 7y = 0 Reorder the terms: 5 + -4 + -1x + 3(1 + 2y) + -4x + 7y = 0 5 + -4 + -1x + (1 * 3 + 2y * 3) + -4x + 7y = 0 5 + -4 + -1x + (3 + 6y) + -4x + 7y = 0 Reorder the terms: 5 + -4 + 3 + -1x + -4x + 6y + 7y = 0 Combine like terms: 5 + -4 = 1 1 + 3 + -1x + -4x + 6y + 7y = 0 Combine like terms: 1 + 3 = 4 4 + -1x + -4x + 6y + 7y = 0 Combine like terms: -1x + -4x = -5x 4 + -5x + 6y + 7y = 0 Combine like terms: 6y + 7y = 13y 4 + -5x + 13y = 0 Solving 4 + -5x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -5x + -4 + 13y = 0 + -4 Reorder the terms: 4 + -4 + -5x + 13y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x + 13y = 0 + -4 -5x + 13y = 0 + -4 Combine like terms: 0 + -4 = -4 -5x + 13y = -4 Add '-13y' to each side of the equation. -5x + 13y + -13y = -4 + -13y Combine like terms: 13y + -13y = 0 -5x + 0 = -4 + -13y -5x = -4 + -13y Divide each side by '-5'. x = 0.8 + 2.6y Simplifying x = 0.8 + 2.6y
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