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Simplifying -4(x + 4) + -6(x + 6) = 6 Reorder the terms: -4(4 + x) + -6(x + 6) = 6 (4 * -4 + x * -4) + -6(x + 6) = 6 (-16 + -4x) + -6(x + 6) = 6 Reorder the terms: -16 + -4x + -6(6 + x) = 6 -16 + -4x + (6 * -6 + x * -6) = 6 -16 + -4x + (-36 + -6x) = 6 Reorder the terms: -16 + -36 + -4x + -6x = 6 Combine like terms: -16 + -36 = -52 -52 + -4x + -6x = 6 Combine like terms: -4x + -6x = -10x -52 + -10x = 6 Solving -52 + -10x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -10x = 6 + 52 Combine like terms: -52 + 52 = 0 0 + -10x = 6 + 52 -10x = 6 + 52 Combine like terms: 6 + 52 = 58 -10x = 58 Divide each side by '-10'. x = -5.8 Simplifying x = -5.8
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