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Simplifying 6x + 4 = -5(3x + 8) Reorder the terms: 4 + 6x = -5(3x + 8) Reorder the terms: 4 + 6x = -5(8 + 3x) 4 + 6x = (8 * -5 + 3x * -5) 4 + 6x = (-40 + -15x) Solving 4 + 6x = -40 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 4 + 6x + 15x = -40 + -15x + 15x Combine like terms: 6x + 15x = 21x 4 + 21x = -40 + -15x + 15x Combine like terms: -15x + 15x = 0 4 + 21x = -40 + 0 4 + 21x = -40 Add '-4' to each side of the equation. 4 + -4 + 21x = -40 + -4 Combine like terms: 4 + -4 = 0 0 + 21x = -40 + -4 21x = -40 + -4 Combine like terms: -40 + -4 = -44 21x = -44 Divide each side by '21'. x = -2.095238095 Simplifying x = -2.095238095
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