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Simplifying 4x + 2y + -18 = 7x + -9 Reorder the terms: -18 + 4x + 2y = 7x + -9 Reorder the terms: -18 + 4x + 2y = -9 + 7x Solving -18 + 4x + 2y = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 4x + -7x + 2y = -9 + 7x + -7x Combine like terms: 4x + -7x = -3x -18 + -3x + 2y = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -3x + 2y = -9 + 0 -18 + -3x + 2y = -9 Add '18' to each side of the equation. -18 + -3x + 18 + 2y = -9 + 18 Reorder the terms: -18 + 18 + -3x + 2y = -9 + 18 Combine like terms: -18 + 18 = 0 0 + -3x + 2y = -9 + 18 -3x + 2y = -9 + 18 Combine like terms: -9 + 18 = 9 -3x + 2y = 9 Add '-2y' to each side of the equation. -3x + 2y + -2y = 9 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = 9 + -2y -3x = 9 + -2y Divide each side by '-3'. x = -3 + 0.6666666667y Simplifying x = -3 + 0.6666666667y
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