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Simplifying -7(-4)(x + -6) = 4(x) + -6 Reorder the terms: -7 * -4(-6 + x) = 4(x) + -6 Multiply -7 * -4 28(-6 + x) = 4(x) + -6 (-6 * 28 + x * 28) = 4(x) + -6 (-168 + 28x) = 4(x) + -6 Reorder the terms: -168 + 28x = -6 + 4x Solving -168 + 28x = -6 + 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. -168 + 28x + -4x = -6 + 4x + -4x Combine like terms: 28x + -4x = 24x -168 + 24x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -168 + 24x = -6 + 0 -168 + 24x = -6 Add '168' to each side of the equation. -168 + 168 + 24x = -6 + 168 Combine like terms: -168 + 168 = 0 0 + 24x = -6 + 168 24x = -6 + 168 Combine like terms: -6 + 168 = 162 24x = 162 Divide each side by '24'. x = 6.75 Simplifying x = 6.75
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