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Simplifying 3x + -5(2y + -1) = 5x + 17 Reorder the terms: 3x + -5(-1 + 2y) = 5x + 17 3x + (-1 * -5 + 2y * -5) = 5x + 17 3x + (5 + -10y) = 5x + 17 Reorder the terms: 5 + 3x + -10y = 5x + 17 Reorder the terms: 5 + 3x + -10y = 17 + 5x Solving 5 + 3x + -10y = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 3x + -5x + -10y = 17 + 5x + -5x Combine like terms: 3x + -5x = -2x 5 + -2x + -10y = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -2x + -10y = 17 + 0 5 + -2x + -10y = 17 Add '-5' to each side of the equation. 5 + -2x + -5 + -10y = 17 + -5 Reorder the terms: 5 + -5 + -2x + -10y = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -2x + -10y = 17 + -5 -2x + -10y = 17 + -5 Combine like terms: 17 + -5 = 12 -2x + -10y = 12 Add '10y' to each side of the equation. -2x + -10y + 10y = 12 + 10y Combine like terms: -10y + 10y = 0 -2x + 0 = 12 + 10y -2x = 12 + 10y Divide each side by '-2'. x = -6 + -5y Simplifying x = -6 + -5y
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