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Simplifying -7(x + 3) = -4(x + -6) Reorder the terms: -7(3 + x) = -4(x + -6) (3 * -7 + x * -7) = -4(x + -6) (-21 + -7x) = -4(x + -6) Reorder the terms: -21 + -7x = -4(-6 + x) -21 + -7x = (-6 * -4 + x * -4) -21 + -7x = (24 + -4x) Solving -21 + -7x = 24 + -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 + -7x + 4x = 24 + -4x + 4x Combine like terms: -7x + 4x = -3x -21 + -3x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + -3x = 24 + 0 -21 + -3x = 24 Add '21' to each side of the equation. -21 + 21 + -3x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 24 + 21 -3x = 24 + 21 Combine like terms: 24 + 21 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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