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Simplifying 3(x + -7) = 2x + -1(5 + -2x) Reorder the terms: 3(-7 + x) = 2x + -1(5 + -2x) (-7 * 3 + x * 3) = 2x + -1(5 + -2x) (-21 + 3x) = 2x + -1(5 + -2x) -21 + 3x = 2x + (5 * -1 + -2x * -1) -21 + 3x = 2x + (-5 + 2x) Reorder the terms: -21 + 3x = -5 + 2x + 2x Combine like terms: 2x + 2x = 4x -21 + 3x = -5 + 4x Solving -21 + 3x = -5 + 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 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x -21 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + -1x = -5 + 0 -21 + -1x = -5 Add '21' to each side of the equation. -21 + 21 + -1x = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -5 + 21 -1x = -5 + 21 Combine like terms: -5 + 21 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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