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Simplifying 3(-5x + 2) + 8y = 24 Reorder the terms: 3(2 + -5x) + 8y = 24 (2 * 3 + -5x * 3) + 8y = 24 (6 + -15x) + 8y = 24 Solving 6 + -15x + 8y = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -15x + -6 + 8y = 24 + -6 Reorder the terms: 6 + -6 + -15x + 8y = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -15x + 8y = 24 + -6 -15x + 8y = 24 + -6 Combine like terms: 24 + -6 = 18 -15x + 8y = 18 Add '-8y' to each side of the equation. -15x + 8y + -8y = 18 + -8y Combine like terms: 8y + -8y = 0 -15x + 0 = 18 + -8y -15x = 18 + -8y Divide each side by '-15'. x = -1.2 + 0.5333333333y Simplifying x = -1.2 + 0.5333333333y
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