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Simplifying 8x + -40 = 5(4 + 5x) + 8 Reorder the terms: -40 + 8x = 5(4 + 5x) + 8 -40 + 8x = (4 * 5 + 5x * 5) + 8 -40 + 8x = (20 + 25x) + 8 Reorder the terms: -40 + 8x = 20 + 8 + 25x Combine like terms: 20 + 8 = 28 -40 + 8x = 28 + 25x Solving -40 + 8x = 28 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -40 + 8x + -25x = 28 + 25x + -25x Combine like terms: 8x + -25x = -17x -40 + -17x = 28 + 25x + -25x Combine like terms: 25x + -25x = 0 -40 + -17x = 28 + 0 -40 + -17x = 28 Add '40' to each side of the equation. -40 + 40 + -17x = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -17x = 28 + 40 -17x = 28 + 40 Combine like terms: 28 + 40 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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