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Simplifying -7(x + 3) = -2(x + 3) + -4x Reorder the terms: -7(3 + x) = -2(x + 3) + -4x (3 * -7 + x * -7) = -2(x + 3) + -4x (-21 + -7x) = -2(x + 3) + -4x Reorder the terms: -21 + -7x = -2(3 + x) + -4x -21 + -7x = (3 * -2 + x * -2) + -4x -21 + -7x = (-6 + -2x) + -4x Combine like terms: -2x + -4x = -6x -21 + -7x = -6 + -6x Solving -21 + -7x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -21 + -7x + 6x = -6 + -6x + 6x Combine like terms: -7x + 6x = -1x -21 + -1x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + -1x = -6 + 0 -21 + -1x = -6 Add '21' to each side of the equation. -21 + 21 + -1x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -6 + 21 -1x = -6 + 21 Combine like terms: -6 + 21 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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