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Simplifying 7(3x + -8) + -2(5x + -4) = 0 Reorder the terms: 7(-8 + 3x) + -2(5x + -4) = 0 (-8 * 7 + 3x * 7) + -2(5x + -4) = 0 (-56 + 21x) + -2(5x + -4) = 0 Reorder the terms: -56 + 21x + -2(-4 + 5x) = 0 -56 + 21x + (-4 * -2 + 5x * -2) = 0 -56 + 21x + (8 + -10x) = 0 Reorder the terms: -56 + 8 + 21x + -10x = 0 Combine like terms: -56 + 8 = -48 -48 + 21x + -10x = 0 Combine like terms: 21x + -10x = 11x -48 + 11x = 0 Solving -48 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 11x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 11x = 0 + 48 11x = 0 + 48 Combine like terms: 0 + 48 = 48 11x = 48 Divide each side by '11'. x = 4.363636364 Simplifying x = 4.363636364
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