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Simplifying 4x + 8(3x + -5) = 9(2x + 10) Reorder the terms: 4x + 8(-5 + 3x) = 9(2x + 10) 4x + (-5 * 8 + 3x * 8) = 9(2x + 10) 4x + (-40 + 24x) = 9(2x + 10) Reorder the terms: -40 + 4x + 24x = 9(2x + 10) Combine like terms: 4x + 24x = 28x -40 + 28x = 9(2x + 10) Reorder the terms: -40 + 28x = 9(10 + 2x) -40 + 28x = (10 * 9 + 2x * 9) -40 + 28x = (90 + 18x) Solving -40 + 28x = 90 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -40 + 28x + -18x = 90 + 18x + -18x Combine like terms: 28x + -18x = 10x -40 + 10x = 90 + 18x + -18x Combine like terms: 18x + -18x = 0 -40 + 10x = 90 + 0 -40 + 10x = 90 Add '40' to each side of the equation. -40 + 40 + 10x = 90 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 90 + 40 10x = 90 + 40 Combine like terms: 90 + 40 = 130 10x = 130 Divide each side by '10'. x = 13 Simplifying x = 13
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