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Simplifying 3x + -2(5 + -1x) = -3(x + -10) + 3 3x + (5 * -2 + -1x * -2) = -3(x + -10) + 3 3x + (-10 + 2x) = -3(x + -10) + 3 Reorder the terms: -10 + 3x + 2x = -3(x + -10) + 3 Combine like terms: 3x + 2x = 5x -10 + 5x = -3(x + -10) + 3 Reorder the terms: -10 + 5x = -3(-10 + x) + 3 -10 + 5x = (-10 * -3 + x * -3) + 3 -10 + 5x = (30 + -3x) + 3 Reorder the terms: -10 + 5x = 30 + 3 + -3x Combine like terms: 30 + 3 = 33 -10 + 5x = 33 + -3x Solving -10 + 5x = 33 + -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. -10 + 5x + 3x = 33 + -3x + 3x Combine like terms: 5x + 3x = 8x -10 + 8x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 8x = 33 + 0 -10 + 8x = 33 Add '10' to each side of the equation. -10 + 10 + 8x = 33 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 33 + 10 8x = 33 + 10 Combine like terms: 33 + 10 = 43 8x = 43 Divide each side by '8'. x = 5.375 Simplifying x = 5.375
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