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Simplifying 2(x + -3) + -5y = 4(x + -5) + -64 Reorder the terms: 2(-3 + x) + -5y = 4(x + -5) + -64 (-3 * 2 + x * 2) + -5y = 4(x + -5) + -64 (-6 + 2x) + -5y = 4(x + -5) + -64 Reorder the terms: -6 + 2x + -5y = 4(-5 + x) + -64 -6 + 2x + -5y = (-5 * 4 + x * 4) + -64 -6 + 2x + -5y = (-20 + 4x) + -64 Reorder the terms: -6 + 2x + -5y = -20 + -64 + 4x Combine like terms: -20 + -64 = -84 -6 + 2x + -5y = -84 + 4x Solving -6 + 2x + -5y = -84 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 2x + -4x + -5y = -84 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x + -5y = -84 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x + -5y = -84 + 0 -6 + -2x + -5y = -84 Add '6' to each side of the equation. -6 + -2x + 6 + -5y = -84 + 6 Reorder the terms: -6 + 6 + -2x + -5y = -84 + 6 Combine like terms: -6 + 6 = 0 0 + -2x + -5y = -84 + 6 -2x + -5y = -84 + 6 Combine like terms: -84 + 6 = -78 -2x + -5y = -78 Add '5y' to each side of the equation. -2x + -5y + 5y = -78 + 5y Combine like terms: -5y + 5y = 0 -2x + 0 = -78 + 5y -2x = -78 + 5y Divide each side by '-2'. x = 39 + -2.5y Simplifying x = 39 + -2.5y
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