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Simplifying 4x + -20y + 10 = 8x + -20y Reorder the terms: 10 + 4x + -20y = 8x + -20y Add '20y' to each side of the equation. 10 + 4x + -20y + 20y = 8x + -20y + 20y Combine like terms: -20y + 20y = 0 10 + 4x + 0 = 8x + -20y + 20y 10 + 4x = 8x + -20y + 20y Combine like terms: -20y + 20y = 0 10 + 4x = 8x + 0 10 + 4x = 8x Solving 10 + 4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x 10 + -4x = 8x + -8x Combine like terms: 8x + -8x = 0 10 + -4x = 0 Add '-10' to each side of the equation. 10 + -10 + -4x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 0 + -10 -4x = 0 + -10 Combine like terms: 0 + -10 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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