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Simplifying 2(x + 42) = 5(y + -6) * 5x Reorder the terms: 2(42 + x) = 5(y + -6) * 5x (42 * 2 + x * 2) = 5(y + -6) * 5x (84 + 2x) = 5(y + -6) * 5x Reorder the terms: 84 + 2x = 5(-6 + y) * 5x Reorder the terms for easier multiplication: 84 + 2x = 5 * 5x(-6 + y) Multiply 5 * 5 84 + 2x = 25x(-6 + y) 84 + 2x = (-6 * 25x + y * 25x) 84 + 2x = (-150x + 25xy) Solving 84 + 2x = -150x + 25xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150x' to each side of the equation. 84 + 2x + 150x = -150x + 150x + 25xy Combine like terms: 2x + 150x = 152x 84 + 152x = -150x + 150x + 25xy Combine like terms: -150x + 150x = 0 84 + 152x = 0 + 25xy 84 + 152x = 25xy Add '-25xy' to each side of the equation. 84 + 152x + -25xy = 25xy + -25xy Combine like terms: 25xy + -25xy = 0 84 + 152x + -25xy = 0 Add '-84' to each side of the equation. 84 + 152x + -84 + -25xy = 0 + -84 Reorder the terms: 84 + -84 + 152x + -25xy = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 152x + -25xy = 0 + -84 152x + -25xy = 0 + -84 Combine like terms: 0 + -84 = -84 152x + -25xy = -84 Reorder the terms: 84 + 152x + -25xy = -84 + 84 Combine like terms: -84 + 84 = 0 84 + 152x + -25xy = 0 The solution to this equation could not be determined.
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