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Simplifying -4(x + 3) = -2(x + -7) Reorder the terms: -4(3 + x) = -2(x + -7) (3 * -4 + x * -4) = -2(x + -7) (-12 + -4x) = -2(x + -7) Reorder the terms: -12 + -4x = -2(-7 + x) -12 + -4x = (-7 * -2 + x * -2) -12 + -4x = (14 + -2x) Solving -12 + -4x = 14 + -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. -12 + -4x + 2x = 14 + -2x + 2x Combine like terms: -4x + 2x = -2x -12 + -2x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + -2x = 14 + 0 -12 + -2x = 14 Add '12' to each side of the equation. -12 + 12 + -2x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 14 + 12 -2x = 14 + 12 Combine like terms: 14 + 12 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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