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Simplifying 3(x + -7) + 2x = 4x + -1 Reorder the terms: 3(-7 + x) + 2x = 4x + -1 (-7 * 3 + x * 3) + 2x = 4x + -1 (-21 + 3x) + 2x = 4x + -1 Combine like terms: 3x + 2x = 5x -21 + 5x = 4x + -1 Reorder the terms: -21 + 5x = -1 + 4x Solving -21 + 5x = -1 + 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 = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x -21 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 1x = -1 + 0 -21 + 1x = -1 Add '21' to each side of the equation. -21 + 21 + 1x = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -1 + 21 1x = -1 + 21 Combine like terms: -1 + 21 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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