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Simplifying 10(x + -3) + -5 = 8x + 3 Reorder the terms: 10(-3 + x) + -5 = 8x + 3 (-3 * 10 + x * 10) + -5 = 8x + 3 (-30 + 10x) + -5 = 8x + 3 Reorder the terms: -30 + -5 + 10x = 8x + 3 Combine like terms: -30 + -5 = -35 -35 + 10x = 8x + 3 Reorder the terms: -35 + 10x = 3 + 8x Solving -35 + 10x = 3 + 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. -35 + 10x + -8x = 3 + 8x + -8x Combine like terms: 10x + -8x = 2x -35 + 2x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + 2x = 3 + 0 -35 + 2x = 3 Add '35' to each side of the equation. -35 + 35 + 2x = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 3 + 35 2x = 3 + 35 Combine like terms: 3 + 35 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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