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Simplifying 3x + -1(4y + -3x) + -4y = 7x + (5 + -4y) * 2 Reorder the terms: 3x + -1(-3x + 4y) + -4y = 7x + (5 + -4y) * 2 3x + (-3x * -1 + 4y * -1) + -4y = 7x + (5 + -4y) * 2 3x + (3x + -4y) + -4y = 7x + (5 + -4y) * 2 Combine like terms: 3x + 3x = 6x 6x + -4y + -4y = 7x + (5 + -4y) * 2 Combine like terms: -4y + -4y = -8y 6x + -8y = 7x + (5 + -4y) * 2 Reorder the terms for easier multiplication: 6x + -8y = 7x + 2(5 + -4y) 6x + -8y = 7x + (5 * 2 + -4y * 2) 6x + -8y = 7x + (10 + -8y) Reorder the terms: 6x + -8y = 10 + 7x + -8y Add '8y' to each side of the equation. 6x + -8y + 8y = 10 + 7x + -8y + 8y Combine like terms: -8y + 8y = 0 6x + 0 = 10 + 7x + -8y + 8y 6x = 10 + 7x + -8y + 8y Combine like terms: -8y + 8y = 0 6x = 10 + 7x + 0 6x = 10 + 7x Solving 6x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x = 10 + 7x + -7x Combine like terms: 6x + -7x = -1x -1x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -1x = 10 + 0 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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