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Simplifying 8(3x + -5) = 4(5x + 49) Reorder the terms: 8(-5 + 3x) = 4(5x + 49) (-5 * 8 + 3x * 8) = 4(5x + 49) (-40 + 24x) = 4(5x + 49) Reorder the terms: -40 + 24x = 4(49 + 5x) -40 + 24x = (49 * 4 + 5x * 4) -40 + 24x = (196 + 20x) Solving -40 + 24x = 196 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -40 + 24x + -20x = 196 + 20x + -20x Combine like terms: 24x + -20x = 4x -40 + 4x = 196 + 20x + -20x Combine like terms: 20x + -20x = 0 -40 + 4x = 196 + 0 -40 + 4x = 196 Add '40' to each side of the equation. -40 + 40 + 4x = 196 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 196 + 40 4x = 196 + 40 Combine like terms: 196 + 40 = 236 4x = 236 Divide each side by '4'. x = 59 Simplifying x = 59
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