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Simplifying 7(x + -1y) + -3 = -4(-7x + 9) + -3x (x * 7 + -1y * 7) + -3 = -4(-7x + 9) + -3x (7x + -7y) + -3 = -4(-7x + 9) + -3x Reorder the terms: -3 + 7x + -7y = -4(-7x + 9) + -3x Reorder the terms: -3 + 7x + -7y = -4(9 + -7x) + -3x -3 + 7x + -7y = (9 * -4 + -7x * -4) + -3x -3 + 7x + -7y = (-36 + 28x) + -3x Combine like terms: 28x + -3x = 25x -3 + 7x + -7y = -36 + 25x Solving -3 + 7x + -7y = -36 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -3 + 7x + -25x + -7y = -36 + 25x + -25x Combine like terms: 7x + -25x = -18x -3 + -18x + -7y = -36 + 25x + -25x Combine like terms: 25x + -25x = 0 -3 + -18x + -7y = -36 + 0 -3 + -18x + -7y = -36 Add '3' to each side of the equation. -3 + -18x + 3 + -7y = -36 + 3 Reorder the terms: -3 + 3 + -18x + -7y = -36 + 3 Combine like terms: -3 + 3 = 0 0 + -18x + -7y = -36 + 3 -18x + -7y = -36 + 3 Combine like terms: -36 + 3 = -33 -18x + -7y = -33 Add '7y' to each side of the equation. -18x + -7y + 7y = -33 + 7y Combine like terms: -7y + 7y = 0 -18x + 0 = -33 + 7y -18x = -33 + 7y Divide each side by '-18'. x = 1.833333333 + -0.3888888889y Simplifying x = 1.833333333 + -0.3888888889y
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