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Simplifying 8(5x + -3) + -1 = 12 + 3x Reorder the terms: 8(-3 + 5x) + -1 = 12 + 3x (-3 * 8 + 5x * 8) + -1 = 12 + 3x (-24 + 40x) + -1 = 12 + 3x Reorder the terms: -24 + -1 + 40x = 12 + 3x Combine like terms: -24 + -1 = -25 -25 + 40x = 12 + 3x Solving -25 + 40x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 40x + -3x = 12 + 3x + -3x Combine like terms: 40x + -3x = 37x -25 + 37x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 37x = 12 + 0 -25 + 37x = 12 Add '25' to each side of the equation. -25 + 25 + 37x = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 37x = 12 + 25 37x = 12 + 25 Combine like terms: 12 + 25 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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