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Simplifying 4(2y + -3) + 6x + -5y + 10 = 22 Reorder the terms: 4(-3 + 2y) + 6x + -5y + 10 = 22 (-3 * 4 + 2y * 4) + 6x + -5y + 10 = 22 (-12 + 8y) + 6x + -5y + 10 = 22 Reorder the terms: -12 + 10 + 6x + 8y + -5y = 22 Combine like terms: -12 + 10 = -2 -2 + 6x + 8y + -5y = 22 Combine like terms: 8y + -5y = 3y -2 + 6x + 3y = 22 Solving -2 + 6x + 3y = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6x + 2 + 3y = 22 + 2 Reorder the terms: -2 + 2 + 6x + 3y = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 6x + 3y = 22 + 2 6x + 3y = 22 + 2 Combine like terms: 22 + 2 = 24 6x + 3y = 24 Add '-3y' to each side of the equation. 6x + 3y + -3y = 24 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = 24 + -3y 6x = 24 + -3y Divide each side by '6'. x = 4 + -0.5y Simplifying x = 4 + -0.5y
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