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Simplifying 5(7x + -8) + -4x = -6x + -3 Reorder the terms: 5(-8 + 7x) + -4x = -6x + -3 (-8 * 5 + 7x * 5) + -4x = -6x + -3 (-40 + 35x) + -4x = -6x + -3 Combine like terms: 35x + -4x = 31x -40 + 31x = -6x + -3 Reorder the terms: -40 + 31x = -3 + -6x Solving -40 + 31x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -40 + 31x + 6x = -3 + -6x + 6x Combine like terms: 31x + 6x = 37x -40 + 37x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 37x = -3 + 0 -40 + 37x = -3 Add '40' to each side of the equation. -40 + 40 + 37x = -3 + 40 Combine like terms: -40 + 40 = 0 0 + 37x = -3 + 40 37x = -3 + 40 Combine like terms: -3 + 40 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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