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Simplifying -5(8 + 3x) = 2(3x + 1) (8 * -5 + 3x * -5) = 2(3x + 1) (-40 + -15x) = 2(3x + 1) Reorder the terms: -40 + -15x = 2(1 + 3x) -40 + -15x = (1 * 2 + 3x * 2) -40 + -15x = (2 + 6x) Solving -40 + -15x = 2 + 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 + -15x + -6x = 2 + 6x + -6x Combine like terms: -15x + -6x = -21x -40 + -21x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + -21x = 2 + 0 -40 + -21x = 2 Add '40' to each side of the equation. -40 + 40 + -21x = 2 + 40 Combine like terms: -40 + 40 = 0 0 + -21x = 2 + 40 -21x = 2 + 40 Combine like terms: 2 + 40 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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