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Simplifying 5(x + 2y) + -3 = x + 5 (x * 5 + 2y * 5) + -3 = x + 5 (5x + 10y) + -3 = x + 5 Reorder the terms: -3 + 5x + 10y = x + 5 Reorder the terms: -3 + 5x + 10y = 5 + x Solving -3 + 5x + 10y = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 5x + -1x + 10y = 5 + x + -1x Combine like terms: 5x + -1x = 4x -3 + 4x + 10y = 5 + x + -1x Combine like terms: x + -1x = 0 -3 + 4x + 10y = 5 + 0 -3 + 4x + 10y = 5 Add '3' to each side of the equation. -3 + 4x + 3 + 10y = 5 + 3 Reorder the terms: -3 + 3 + 4x + 10y = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4x + 10y = 5 + 3 4x + 10y = 5 + 3 Combine like terms: 5 + 3 = 8 4x + 10y = 8 Add '-10y' to each side of the equation. 4x + 10y + -10y = 8 + -10y Combine like terms: 10y + -10y = 0 4x + 0 = 8 + -10y 4x = 8 + -10y Divide each side by '4'. x = 2 + -2.5y Simplifying x = 2 + -2.5y
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