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Simplifying -6x + 8(8x + 5) = 2x + 40 Reorder the terms: -6x + 8(5 + 8x) = 2x + 40 -6x + (5 * 8 + 8x * 8) = 2x + 40 -6x + (40 + 64x) = 2x + 40 Reorder the terms: 40 + -6x + 64x = 2x + 40 Combine like terms: -6x + 64x = 58x 40 + 58x = 2x + 40 Reorder the terms: 40 + 58x = 40 + 2x Add '-40' to each side of the equation. 40 + -40 + 58x = 40 + -40 + 2x Combine like terms: 40 + -40 = 0 0 + 58x = 40 + -40 + 2x 58x = 40 + -40 + 2x Combine like terms: 40 + -40 = 0 58x = 0 + 2x 58x = 2x Solving 58x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 58x + -2x = 2x + -2x Combine like terms: 58x + -2x = 56x 56x = 2x + -2x Combine like terms: 2x + -2x = 0 56x = 0 Divide each side by '56'. x = 0 Simplifying x = 0
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