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Simplifying -7(4x + 6) = -6(-6x + 4) + -12x Reorder the terms: -7(6 + 4x) = -6(-6x + 4) + -12x (6 * -7 + 4x * -7) = -6(-6x + 4) + -12x (-42 + -28x) = -6(-6x + 4) + -12x Reorder the terms: -42 + -28x = -6(4 + -6x) + -12x -42 + -28x = (4 * -6 + -6x * -6) + -12x -42 + -28x = (-24 + 36x) + -12x Combine like terms: 36x + -12x = 24x -42 + -28x = -24 + 24x Solving -42 + -28x = -24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -42 + -28x + -24x = -24 + 24x + -24x Combine like terms: -28x + -24x = -52x -42 + -52x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 -42 + -52x = -24 + 0 -42 + -52x = -24 Add '42' to each side of the equation. -42 + 42 + -52x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -52x = -24 + 42 -52x = -24 + 42 Combine like terms: -24 + 42 = 18 -52x = 18 Divide each side by '-52'. x = -0.3461538462 Simplifying x = -0.3461538462
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