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Simplifying 4x + 7 + -3(2y + 3) = 4(3y + -4) + -7y + 7 Reorder the terms: 4x + 7 + -3(3 + 2y) = 4(3y + -4) + -7y + 7 4x + 7 + (3 * -3 + 2y * -3) = 4(3y + -4) + -7y + 7 4x + 7 + (-9 + -6y) = 4(3y + -4) + -7y + 7 Reorder the terms: 7 + -9 + 4x + -6y = 4(3y + -4) + -7y + 7 Combine like terms: 7 + -9 = -2 -2 + 4x + -6y = 4(3y + -4) + -7y + 7 Reorder the terms: -2 + 4x + -6y = 4(-4 + 3y) + -7y + 7 -2 + 4x + -6y = (-4 * 4 + 3y * 4) + -7y + 7 -2 + 4x + -6y = (-16 + 12y) + -7y + 7 Reorder the terms: -2 + 4x + -6y = -16 + 7 + 12y + -7y Combine like terms: -16 + 7 = -9 -2 + 4x + -6y = -9 + 12y + -7y Combine like terms: 12y + -7y = 5y -2 + 4x + -6y = -9 + 5y Solving -2 + 4x + -6y = -9 + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4x + 2 + -6y = -9 + 2 + 5y Reorder the terms: -2 + 2 + 4x + -6y = -9 + 2 + 5y Combine like terms: -2 + 2 = 0 0 + 4x + -6y = -9 + 2 + 5y 4x + -6y = -9 + 2 + 5y Combine like terms: -9 + 2 = -7 4x + -6y = -7 + 5y Add '6y' to each side of the equation. 4x + -6y + 6y = -7 + 5y + 6y Combine like terms: -6y + 6y = 0 4x + 0 = -7 + 5y + 6y 4x = -7 + 5y + 6y Combine like terms: 5y + 6y = 11y 4x = -7 + 11y Divide each side by '4'. x = -1.75 + 2.75y Simplifying x = -1.75 + 2.75y
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