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Simplifying -3(x + 7) = -2(x + -4) Reorder the terms: -3(7 + x) = -2(x + -4) (7 * -3 + x * -3) = -2(x + -4) (-21 + -3x) = -2(x + -4) Reorder the terms: -21 + -3x = -2(-4 + x) -21 + -3x = (-4 * -2 + x * -2) -21 + -3x = (8 + -2x) Solving -21 + -3x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -21 + -3x + 2x = 8 + -2x + 2x Combine like terms: -3x + 2x = -1x -21 + -1x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + -1x = 8 + 0 -21 + -1x = 8 Add '21' to each side of the equation. -21 + 21 + -1x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 8 + 21 -1x = 8 + 21 Combine like terms: 8 + 21 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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