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Simplifying 8(4x + -5) + 3(7x + -5) = 23x + 15 Reorder the terms: 8(-5 + 4x) + 3(7x + -5) = 23x + 15 (-5 * 8 + 4x * 8) + 3(7x + -5) = 23x + 15 (-40 + 32x) + 3(7x + -5) = 23x + 15 Reorder the terms: -40 + 32x + 3(-5 + 7x) = 23x + 15 -40 + 32x + (-5 * 3 + 7x * 3) = 23x + 15 -40 + 32x + (-15 + 21x) = 23x + 15 Reorder the terms: -40 + -15 + 32x + 21x = 23x + 15 Combine like terms: -40 + -15 = -55 -55 + 32x + 21x = 23x + 15 Combine like terms: 32x + 21x = 53x -55 + 53x = 23x + 15 Reorder the terms: -55 + 53x = 15 + 23x Solving -55 + 53x = 15 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -55 + 53x + -23x = 15 + 23x + -23x Combine like terms: 53x + -23x = 30x -55 + 30x = 15 + 23x + -23x Combine like terms: 23x + -23x = 0 -55 + 30x = 15 + 0 -55 + 30x = 15 Add '55' to each side of the equation. -55 + 55 + 30x = 15 + 55 Combine like terms: -55 + 55 = 0 0 + 30x = 15 + 55 30x = 15 + 55 Combine like terms: 15 + 55 = 70 30x = 70 Divide each side by '30'. x = 2.333333333 Simplifying x = 2.333333333
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