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Simplifying 5(3y + -1) + -3(2x) = 19 Reorder the terms: 5(-1 + 3y) + -3(2x) = 19 (-1 * 5 + 3y * 5) + -3(2x) = 19 (-5 + 15y) + -3(2x) = 19 Remove parenthesis around (2x) -5 + 15y + -3 * 2x = 19 Multiply -3 * 2 -5 + 15y + -6x = 19 Reorder the terms: -5 + -6x + 15y = 19 Solving -5 + -6x + 15y = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -6x + 5 + 15y = 19 + 5 Reorder the terms: -5 + 5 + -6x + 15y = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -6x + 15y = 19 + 5 -6x + 15y = 19 + 5 Combine like terms: 19 + 5 = 24 -6x + 15y = 24 Add '-15y' to each side of the equation. -6x + 15y + -15y = 24 + -15y Combine like terms: 15y + -15y = 0 -6x + 0 = 24 + -15y -6x = 24 + -15y Divide each side by '-6'. x = -4 + 2.5y Simplifying x = -4 + 2.5y
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