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Simplifying 8(2x + -5) + -3(5 + -4x) = 7x Reorder the terms: 8(-5 + 2x) + -3(5 + -4x) = 7x (-5 * 8 + 2x * 8) + -3(5 + -4x) = 7x (-40 + 16x) + -3(5 + -4x) = 7x -40 + 16x + (5 * -3 + -4x * -3) = 7x -40 + 16x + (-15 + 12x) = 7x Reorder the terms: -40 + -15 + 16x + 12x = 7x Combine like terms: -40 + -15 = -55 -55 + 16x + 12x = 7x Combine like terms: 16x + 12x = 28x -55 + 28x = 7x Solving -55 + 28x = 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. -55 + 28x + -7x = 7x + -7x Combine like terms: 28x + -7x = 21x -55 + 21x = 7x + -7x Combine like terms: 7x + -7x = 0 -55 + 21x = 0 Add '55' to each side of the equation. -55 + 55 + 21x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 21x = 0 + 55 21x = 0 + 55 Combine like terms: 0 + 55 = 55 21x = 55 Divide each side by '21'. x = 2.619047619 Simplifying x = 2.619047619
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