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Simplifying -23 + 5x = -8(2x + -5) Reorder the terms: -23 + 5x = -8(-5 + 2x) -23 + 5x = (-5 * -8 + 2x * -8) -23 + 5x = (40 + -16x) Solving -23 + 5x = 40 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -23 + 5x + 16x = 40 + -16x + 16x Combine like terms: 5x + 16x = 21x -23 + 21x = 40 + -16x + 16x Combine like terms: -16x + 16x = 0 -23 + 21x = 40 + 0 -23 + 21x = 40 Add '23' to each side of the equation. -23 + 23 + 21x = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 21x = 40 + 23 21x = 40 + 23 Combine like terms: 40 + 23 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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