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Simplifying 7(3x + 4) + -8(2x + 5) = 13 Reorder the terms: 7(4 + 3x) + -8(2x + 5) = 13 (4 * 7 + 3x * 7) + -8(2x + 5) = 13 (28 + 21x) + -8(2x + 5) = 13 Reorder the terms: 28 + 21x + -8(5 + 2x) = 13 28 + 21x + (5 * -8 + 2x * -8) = 13 28 + 21x + (-40 + -16x) = 13 Reorder the terms: 28 + -40 + 21x + -16x = 13 Combine like terms: 28 + -40 = -12 -12 + 21x + -16x = 13 Combine like terms: 21x + -16x = 5x -12 + 5x = 13 Solving -12 + 5x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 13 + 12 5x = 13 + 12 Combine like terms: 13 + 12 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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