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Simplifying X + 2y + -5(6 + -7) = 4y + -1x(6 + 9) + -3 Combine like terms: 6 + -7 = -1 X + 2y + -5(-1) = 4y + -1x(6 + 9) + -3 Multiply -5 * -1 X + 2y + 5 = 4y + -1x(6 + 9) + -3 Reorder the terms: 5 + X + 2y = 4y + -1x(6 + 9) + -3 Combine like terms: 6 + 9 = 15 5 + X + 2y = 4y + -1x(15) + -3 Reorder the terms for easier multiplication: 5 + X + 2y = 4y + -1 * 15x + -3 Multiply -1 * 15 5 + X + 2y = 4y + -15x + -3 Reorder the terms: 5 + X + 2y = -3 + -15x + 4y Solving 5 + X + 2y = -3 + -15x + 4y 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 + X + -5 + 2y = -3 + -15x + -5 + 4y Reorder the terms: 5 + -5 + X + 2y = -3 + -15x + -5 + 4y Combine like terms: 5 + -5 = 0 0 + X + 2y = -3 + -15x + -5 + 4y X + 2y = -3 + -15x + -5 + 4y Reorder the terms: X + 2y = -3 + -5 + -15x + 4y Combine like terms: -3 + -5 = -8 X + 2y = -8 + -15x + 4y Add '-2y' to each side of the equation. X + 2y + -2y = -8 + -15x + 4y + -2y Combine like terms: 2y + -2y = 0 X + 0 = -8 + -15x + 4y + -2y X = -8 + -15x + 4y + -2y Combine like terms: 4y + -2y = 2y X = -8 + -15x + 2y Simplifying X = -8 + -15x + 2y
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