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Simplifying 4x + 3y + 2 = 7x + 14 Reorder the terms: 2 + 4x + 3y = 7x + 14 Reorder the terms: 2 + 4x + 3y = 14 + 7x Solving 2 + 4x + 3y = 14 + 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. 2 + 4x + -7x + 3y = 14 + 7x + -7x Combine like terms: 4x + -7x = -3x 2 + -3x + 3y = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -3x + 3y = 14 + 0 2 + -3x + 3y = 14 Add '-2' to each side of the equation. 2 + -3x + -2 + 3y = 14 + -2 Reorder the terms: 2 + -2 + -3x + 3y = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -3x + 3y = 14 + -2 -3x + 3y = 14 + -2 Combine like terms: 14 + -2 = 12 -3x + 3y = 12 Add '-3y' to each side of the equation. -3x + 3y + -3y = 12 + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = 12 + -3y -3x = 12 + -3y Divide each side by '-3'. x = -4 + y Simplifying x = -4 + y
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