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Simplifying 4(x + -5) + 7y = 3 + -2(5x + 1) Reorder the terms: 4(-5 + x) + 7y = 3 + -2(5x + 1) (-5 * 4 + x * 4) + 7y = 3 + -2(5x + 1) (-20 + 4x) + 7y = 3 + -2(5x + 1) Reorder the terms: -20 + 4x + 7y = 3 + -2(1 + 5x) -20 + 4x + 7y = 3 + (1 * -2 + 5x * -2) -20 + 4x + 7y = 3 + (-2 + -10x) Combine like terms: 3 + -2 = 1 -20 + 4x + 7y = 1 + -10x Solving -20 + 4x + 7y = 1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -20 + 4x + 10x + 7y = 1 + -10x + 10x Combine like terms: 4x + 10x = 14x -20 + 14x + 7y = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -20 + 14x + 7y = 1 + 0 -20 + 14x + 7y = 1 Add '20' to each side of the equation. -20 + 14x + 20 + 7y = 1 + 20 Reorder the terms: -20 + 20 + 14x + 7y = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 14x + 7y = 1 + 20 14x + 7y = 1 + 20 Combine like terms: 1 + 20 = 21 14x + 7y = 21 Add '-7y' to each side of the equation. 14x + 7y + -7y = 21 + -7y Combine like terms: 7y + -7y = 0 14x + 0 = 21 + -7y 14x = 21 + -7y Divide each side by '14'. x = 1.5 + -0.5y Simplifying x = 1.5 + -0.5y
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