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Simplifying -7(x + 3) = 3(-5 + -2x) Reorder the terms: -7(3 + x) = 3(-5 + -2x) (3 * -7 + x * -7) = 3(-5 + -2x) (-21 + -7x) = 3(-5 + -2x) -21 + -7x = (-5 * 3 + -2x * 3) -21 + -7x = (-15 + -6x) Solving -21 + -7x = -15 + -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 = -15 + -6x + 6x Combine like terms: -7x + 6x = -1x -21 + -1x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + -1x = -15 + 0 -21 + -1x = -15 Add '21' to each side of the equation. -21 + 21 + -1x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -15 + 21 -1x = -15 + 21 Combine like terms: -15 + 21 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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