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Simplifying -3(2x + 5y) + 11 = 14x + -4 (2x * -3 + 5y * -3) + 11 = 14x + -4 (-6x + -15y) + 11 = 14x + -4 Reorder the terms: 11 + -6x + -15y = 14x + -4 Reorder the terms: 11 + -6x + -15y = -4 + 14x Solving 11 + -6x + -15y = -4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 11 + -6x + -14x + -15y = -4 + 14x + -14x Combine like terms: -6x + -14x = -20x 11 + -20x + -15y = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 11 + -20x + -15y = -4 + 0 11 + -20x + -15y = -4 Add '-11' to each side of the equation. 11 + -20x + -11 + -15y = -4 + -11 Reorder the terms: 11 + -11 + -20x + -15y = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -20x + -15y = -4 + -11 -20x + -15y = -4 + -11 Combine like terms: -4 + -11 = -15 -20x + -15y = -15 Add '15y' to each side of the equation. -20x + -15y + 15y = -15 + 15y Combine like terms: -15y + 15y = 0 -20x + 0 = -15 + 15y -20x = -15 + 15y Divide each side by '-20'. x = 0.75 + -0.75y Simplifying x = 0.75 + -0.75y
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