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Simplifying -6(x + 1) = -4(x + 3) Reorder the terms: -6(1 + x) = -4(x + 3) (1 * -6 + x * -6) = -4(x + 3) (-6 + -6x) = -4(x + 3) Reorder the terms: -6 + -6x = -4(3 + x) -6 + -6x = (3 * -4 + x * -4) -6 + -6x = (-12 + -4x) Solving -6 + -6x = -12 + -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. -6 + -6x + 4x = -12 + -4x + 4x Combine like terms: -6x + 4x = -2x -6 + -2x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + -2x = -12 + 0 -6 + -2x = -12 Add '6' to each side of the equation. -6 + 6 + -2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -12 + 6 -2x = -12 + 6 Combine like terms: -12 + 6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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