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Simplifying 3(-7) = 5(3x + -1) + -2(4x + -8) Multiply 3 * -7 -21 = 5(3x + -1) + -2(4x + -8) Reorder the terms: -21 = 5(-1 + 3x) + -2(4x + -8) -21 = (-1 * 5 + 3x * 5) + -2(4x + -8) -21 = (-5 + 15x) + -2(4x + -8) Reorder the terms: -21 = -5 + 15x + -2(-8 + 4x) -21 = -5 + 15x + (-8 * -2 + 4x * -2) -21 = -5 + 15x + (16 + -8x) Reorder the terms: -21 = -5 + 16 + 15x + -8x Combine like terms: -5 + 16 = 11 -21 = 11 + 15x + -8x Combine like terms: 15x + -8x = 7x -21 = 11 + 7x Solving -21 = 11 + 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. -21 + -7x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -7x = 11 + 0 -21 + -7x = 11 Add '21' to each side of the equation. -21 + 21 + -7x = 11 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = 11 + 21 -7x = 11 + 21 Combine like terms: 11 + 21 = 32 -7x = 32 Divide each side by '-7'. x = -4.571428571 Simplifying x = -4.571428571
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