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Simplifying 3x + -2(5 + -1x) = 3(x + -10) + 3x 3x + (5 * -2 + -1x * -2) = 3(x + -10) + 3x 3x + (-10 + 2x) = 3(x + -10) + 3x Reorder the terms: -10 + 3x + 2x = 3(x + -10) + 3x Combine like terms: 3x + 2x = 5x -10 + 5x = 3(x + -10) + 3x Reorder the terms: -10 + 5x = 3(-10 + x) + 3x -10 + 5x = (-10 * 3 + x * 3) + 3x -10 + 5x = (-30 + 3x) + 3x Combine like terms: 3x + 3x = 6x -10 + 5x = -30 + 6x Solving -10 + 5x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 5x + -6x = -30 + 6x + -6x Combine like terms: 5x + -6x = -1x -10 + -1x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -1x = -30 + 0 -10 + -1x = -30 Add '10' to each side of the equation. -10 + 10 + -1x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -30 + 10 -1x = -30 + 10 Combine like terms: -30 + 10 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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