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Simplifying 8(x + -5) + 9x = 38 + 4x Reorder the terms: 8(-5 + x) + 9x = 38 + 4x (-5 * 8 + x * 8) + 9x = 38 + 4x (-40 + 8x) + 9x = 38 + 4x Combine like terms: 8x + 9x = 17x -40 + 17x = 38 + 4x Solving -40 + 17x = 38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -40 + 17x + -4x = 38 + 4x + -4x Combine like terms: 17x + -4x = 13x -40 + 13x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 13x = 38 + 0 -40 + 13x = 38 Add '40' to each side of the equation. -40 + 40 + 13x = 38 + 40 Combine like terms: -40 + 40 = 0 0 + 13x = 38 + 40 13x = 38 + 40 Combine like terms: 38 + 40 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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