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Simplifying 5(8 + -3x) + -4y = 2 (8 * 5 + -3x * 5) + -4y = 2 (40 + -15x) + -4y = 2 Solving 40 + -15x + -4y = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -15x + -40 + -4y = 2 + -40 Reorder the terms: 40 + -40 + -15x + -4y = 2 + -40 Combine like terms: 40 + -40 = 0 0 + -15x + -4y = 2 + -40 -15x + -4y = 2 + -40 Combine like terms: 2 + -40 = -38 -15x + -4y = -38 Add '4y' to each side of the equation. -15x + -4y + 4y = -38 + 4y Combine like terms: -4y + 4y = 0 -15x + 0 = -38 + 4y -15x = -38 + 4y Divide each side by '-15'. x = 2.533333333 + -0.2666666667y Simplifying x = 2.533333333 + -0.2666666667y
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