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Simplifying 3x + 2y + 5 = 7x + 13 Reorder the terms: 5 + 3x + 2y = 7x + 13 Reorder the terms: 5 + 3x + 2y = 13 + 7x Solving 5 + 3x + 2y = 13 + 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. 5 + 3x + -7x + 2y = 13 + 7x + -7x Combine like terms: 3x + -7x = -4x 5 + -4x + 2y = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -4x + 2y = 13 + 0 5 + -4x + 2y = 13 Add '-5' to each side of the equation. 5 + -4x + -5 + 2y = 13 + -5 Reorder the terms: 5 + -5 + -4x + 2y = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -4x + 2y = 13 + -5 -4x + 2y = 13 + -5 Combine like terms: 13 + -5 = 8 -4x + 2y = 8 Add '-2y' to each side of the equation. -4x + 2y + -2y = 8 + -2y Combine like terms: 2y + -2y = 0 -4x + 0 = 8 + -2y -4x = 8 + -2y Divide each side by '-4'. x = -2 + 0.5y Simplifying x = -2 + 0.5y
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