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Simplifying 5(x + -1) = 8(23 + -2x) Reorder the terms: 5(-1 + x) = 8(23 + -2x) (-1 * 5 + x * 5) = 8(23 + -2x) (-5 + 5x) = 8(23 + -2x) -5 + 5x = (23 * 8 + -2x * 8) -5 + 5x = (184 + -16x) Solving -5 + 5x = 184 + -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. -5 + 5x + 16x = 184 + -16x + 16x Combine like terms: 5x + 16x = 21x -5 + 21x = 184 + -16x + 16x Combine like terms: -16x + 16x = 0 -5 + 21x = 184 + 0 -5 + 21x = 184 Add '5' to each side of the equation. -5 + 5 + 21x = 184 + 5 Combine like terms: -5 + 5 = 0 0 + 21x = 184 + 5 21x = 184 + 5 Combine like terms: 184 + 5 = 189 21x = 189 Divide each side by '21'. x = 9 Simplifying x = 9
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