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Simplifying 2x + -4y + 7 = 5x + -10y + 5 Reorder the terms: 7 + 2x + -4y = 5x + -10y + 5 Reorder the terms: 7 + 2x + -4y = 5 + 5x + -10y Solving 7 + 2x + -4y = 5 + 5x + -10y 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. 7 + 2x + -5x + -4y = 5 + 5x + -5x + -10y Combine like terms: 2x + -5x = -3x 7 + -3x + -4y = 5 + 5x + -5x + -10y Combine like terms: 5x + -5x = 0 7 + -3x + -4y = 5 + 0 + -10y 7 + -3x + -4y = 5 + -10y Add '-7' to each side of the equation. 7 + -3x + -7 + -4y = 5 + -7 + -10y Reorder the terms: 7 + -7 + -3x + -4y = 5 + -7 + -10y Combine like terms: 7 + -7 = 0 0 + -3x + -4y = 5 + -7 + -10y -3x + -4y = 5 + -7 + -10y Combine like terms: 5 + -7 = -2 -3x + -4y = -2 + -10y Add '4y' to each side of the equation. -3x + -4y + 4y = -2 + -10y + 4y Combine like terms: -4y + 4y = 0 -3x + 0 = -2 + -10y + 4y -3x = -2 + -10y + 4y Combine like terms: -10y + 4y = -6y -3x = -2 + -6y Divide each side by '-3'. x = 0.6666666667 + 2y Simplifying x = 0.6666666667 + 2y
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