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Simplifying 4 + 5(4x + 2y) + -2(7x + 5t) + -5x = 0 4 + (4x * 5 + 2y * 5) + -2(7x + 5t) + -5x = 0 4 + (20x + 10y) + -2(7x + 5t) + -5x = 0 Reorder the terms: 4 + 20x + 10y + -2(5t + 7x) + -5x = 0 4 + 20x + 10y + (5t * -2 + 7x * -2) + -5x = 0 4 + 20x + 10y + (-10t + -14x) + -5x = 0 Reorder the terms: 4 + -10t + 20x + -14x + -5x + 10y = 0 Combine like terms: 20x + -14x = 6x 4 + -10t + 6x + -5x + 10y = 0 Combine like terms: 6x + -5x = 1x 4 + -10t + 1x + 10y = 0 Solving 4 + -10t + 1x + 10y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -10t + 1x + -4 + 10y = 0 + -4 Reorder the terms: 4 + -4 + -10t + 1x + 10y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -10t + 1x + 10y = 0 + -4 -10t + 1x + 10y = 0 + -4 Combine like terms: 0 + -4 = -4 -10t + 1x + 10y = -4 Add '-1x' to each side of the equation. -10t + 1x + -1x + 10y = -4 + -1x Combine like terms: 1x + -1x = 0 -10t + 0 + 10y = -4 + -1x -10t + 10y = -4 + -1x Add '-10y' to each side of the equation. -10t + 10y + -10y = -4 + -1x + -10y Combine like terms: 10y + -10y = 0 -10t + 0 = -4 + -1x + -10y -10t = -4 + -1x + -10y Divide each side by '-10'. t = 0.4 + 0.1x + y Simplifying t = 0.4 + 0.1x + y
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