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Simplifying 5(5x + -2) = 4(8x + 1) Reorder the terms: 5(-2 + 5x) = 4(8x + 1) (-2 * 5 + 5x * 5) = 4(8x + 1) (-10 + 25x) = 4(8x + 1) Reorder the terms: -10 + 25x = 4(1 + 8x) -10 + 25x = (1 * 4 + 8x * 4) -10 + 25x = (4 + 32x) Solving -10 + 25x = 4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -10 + 25x + -32x = 4 + 32x + -32x Combine like terms: 25x + -32x = -7x -10 + -7x = 4 + 32x + -32x Combine like terms: 32x + -32x = 0 -10 + -7x = 4 + 0 -10 + -7x = 4 Add '10' to each side of the equation. -10 + 10 + -7x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 4 + 10 -7x = 4 + 10 Combine like terms: 4 + 10 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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