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Simplifying 10(x + -2) + -3 = 8x + 5 Reorder the terms: 10(-2 + x) + -3 = 8x + 5 (-2 * 10 + x * 10) + -3 = 8x + 5 (-20 + 10x) + -3 = 8x + 5 Reorder the terms: -20 + -3 + 10x = 8x + 5 Combine like terms: -20 + -3 = -23 -23 + 10x = 8x + 5 Reorder the terms: -23 + 10x = 5 + 8x Solving -23 + 10x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -23 + 10x + -8x = 5 + 8x + -8x Combine like terms: 10x + -8x = 2x -23 + 2x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -23 + 2x = 5 + 0 -23 + 2x = 5 Add '23' to each side of the equation. -23 + 23 + 2x = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 5 + 23 2x = 5 + 23 Combine like terms: 5 + 23 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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