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Simplifying -40 + 6x = 4 + 7(8x + 8) Reorder the terms: -40 + 6x = 4 + 7(8 + 8x) -40 + 6x = 4 + (8 * 7 + 8x * 7) -40 + 6x = 4 + (56 + 56x) Combine like terms: 4 + 56 = 60 -40 + 6x = 60 + 56x Solving -40 + 6x = 60 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -40 + 6x + -56x = 60 + 56x + -56x Combine like terms: 6x + -56x = -50x -40 + -50x = 60 + 56x + -56x Combine like terms: 56x + -56x = 0 -40 + -50x = 60 + 0 -40 + -50x = 60 Add '40' to each side of the equation. -40 + 40 + -50x = 60 + 40 Combine like terms: -40 + 40 = 0 0 + -50x = 60 + 40 -50x = 60 + 40 Combine like terms: 60 + 40 = 100 -50x = 100 Divide each side by '-50'. x = -2 Simplifying x = -2
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