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Simplifying 2y + 3(y + -6) = 5y + -2(x + -10) Reorder the terms: 2y + 3(-6 + y) = 5y + -2(x + -10) 2y + (-6 * 3 + y * 3) = 5y + -2(x + -10) 2y + (-18 + 3y) = 5y + -2(x + -10) Reorder the terms: -18 + 2y + 3y = 5y + -2(x + -10) Combine like terms: 2y + 3y = 5y -18 + 5y = 5y + -2(x + -10) Reorder the terms: -18 + 5y = 5y + -2(-10 + x) -18 + 5y = 5y + (-10 * -2 + x * -2) -18 + 5y = 5y + (20 + -2x) Reorder the terms: -18 + 5y = 20 + -2x + 5y Add '-5y' to each side of the equation. -18 + 5y + -5y = 20 + -2x + 5y + -5y Combine like terms: 5y + -5y = 0 -18 + 0 = 20 + -2x + 5y + -5y -18 = 20 + -2x + 5y + -5y Combine like terms: 5y + -5y = 0 -18 = 20 + -2x + 0 -18 = 20 + -2x Solving -18 = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + 2x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 2x = 20 + 0 -18 + 2x = 20 Add '18' to each side of the equation. -18 + 18 + 2x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 20 + 18 2x = 20 + 18 Combine like terms: 20 + 18 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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