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Simplifying 5x + -3y + 8 = 3(x + -8) Reorder the terms: 8 + 5x + -3y = 3(x + -8) Reorder the terms: 8 + 5x + -3y = 3(-8 + x) 8 + 5x + -3y = (-8 * 3 + x * 3) 8 + 5x + -3y = (-24 + 3x) Solving 8 + 5x + -3y = -24 + 3x 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. 8 + 5x + -3x + -3y = -24 + 3x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x + -3y = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 2x + -3y = -24 + 0 8 + 2x + -3y = -24 Add '-8' to each side of the equation. 8 + 2x + -8 + -3y = -24 + -8 Reorder the terms: 8 + -8 + 2x + -3y = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 2x + -3y = -24 + -8 2x + -3y = -24 + -8 Combine like terms: -24 + -8 = -32 2x + -3y = -32 Add '3y' to each side of the equation. 2x + -3y + 3y = -32 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = -32 + 3y 2x = -32 + 3y Divide each side by '2'. x = -16 + 1.5y Simplifying x = -16 + 1.5y
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