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Simplifying -4(x + 6) + -3 = -6(x + 2) + -9 Reorder the terms: -4(6 + x) + -3 = -6(x + 2) + -9 (6 * -4 + x * -4) + -3 = -6(x + 2) + -9 (-24 + -4x) + -3 = -6(x + 2) + -9 Reorder the terms: -24 + -3 + -4x = -6(x + 2) + -9 Combine like terms: -24 + -3 = -27 -27 + -4x = -6(x + 2) + -9 Reorder the terms: -27 + -4x = -6(2 + x) + -9 -27 + -4x = (2 * -6 + x * -6) + -9 -27 + -4x = (-12 + -6x) + -9 Reorder the terms: -27 + -4x = -12 + -9 + -6x Combine like terms: -12 + -9 = -21 -27 + -4x = -21 + -6x Solving -27 + -4x = -21 + -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. -27 + -4x + 6x = -21 + -6x + 6x Combine like terms: -4x + 6x = 2x -27 + 2x = -21 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 2x = -21 + 0 -27 + 2x = -21 Add '27' to each side of the equation. -27 + 27 + 2x = -21 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -21 + 27 2x = -21 + 27 Combine like terms: -21 + 27 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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