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Simplifying 3(x + -5) + -1(6 + -2x) = 4x Reorder the terms: 3(-5 + x) + -1(6 + -2x) = 4x (-5 * 3 + x * 3) + -1(6 + -2x) = 4x (-15 + 3x) + -1(6 + -2x) = 4x -15 + 3x + (6 * -1 + -2x * -1) = 4x -15 + 3x + (-6 + 2x) = 4x Reorder the terms: -15 + -6 + 3x + 2x = 4x Combine like terms: -15 + -6 = -21 -21 + 3x + 2x = 4x Combine like terms: 3x + 2x = 5x -21 + 5x = 4x Solving -21 + 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x -21 + 1x = 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 1x = 0 Add '21' to each side of the equation. -21 + 21 + 1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 0 + 21 1x = 0 + 21 Combine like terms: 0 + 21 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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