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Simplifying 7(y + 3x) + -15 = 4(y + -3) + 3x Reorder the terms: 7(3x + y) + -15 = 4(y + -3) + 3x (3x * 7 + y * 7) + -15 = 4(y + -3) + 3x (21x + 7y) + -15 = 4(y + -3) + 3x Reorder the terms: -15 + 21x + 7y = 4(y + -3) + 3x Reorder the terms: -15 + 21x + 7y = 4(-3 + y) + 3x -15 + 21x + 7y = (-3 * 4 + y * 4) + 3x -15 + 21x + 7y = (-12 + 4y) + 3x Reorder the terms: -15 + 21x + 7y = -12 + 3x + 4y Solving -15 + 21x + 7y = -12 + 3x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 21x + -3x + 7y = -12 + 3x + -3x + 4y Combine like terms: 21x + -3x = 18x -15 + 18x + 7y = -12 + 3x + -3x + 4y Combine like terms: 3x + -3x = 0 -15 + 18x + 7y = -12 + 0 + 4y -15 + 18x + 7y = -12 + 4y Add '15' to each side of the equation. -15 + 18x + 15 + 7y = -12 + 15 + 4y Reorder the terms: -15 + 15 + 18x + 7y = -12 + 15 + 4y Combine like terms: -15 + 15 = 0 0 + 18x + 7y = -12 + 15 + 4y 18x + 7y = -12 + 15 + 4y Combine like terms: -12 + 15 = 3 18x + 7y = 3 + 4y Add '-7y' to each side of the equation. 18x + 7y + -7y = 3 + 4y + -7y Combine like terms: 7y + -7y = 0 18x + 0 = 3 + 4y + -7y 18x = 3 + 4y + -7y Combine like terms: 4y + -7y = -3y 18x = 3 + -3y Divide each side by '18'. x = 0.1666666667 + -0.1666666667y Simplifying x = 0.1666666667 + -0.1666666667y
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