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Simplifying 4 = -6(6x + 4) + 4(3x + -5) Reorder the terms: 4 = -6(4 + 6x) + 4(3x + -5) 4 = (4 * -6 + 6x * -6) + 4(3x + -5) 4 = (-24 + -36x) + 4(3x + -5) Reorder the terms: 4 = -24 + -36x + 4(-5 + 3x) 4 = -24 + -36x + (-5 * 4 + 3x * 4) 4 = -24 + -36x + (-20 + 12x) Reorder the terms: 4 = -24 + -20 + -36x + 12x Combine like terms: -24 + -20 = -44 4 = -44 + -36x + 12x Combine like terms: -36x + 12x = -24x 4 = -44 + -24x Solving 4 = -44 + -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. 4 + 24x = -44 + -24x + 24x Combine like terms: -24x + 24x = 0 4 + 24x = -44 + 0 4 + 24x = -44 Add '-4' to each side of the equation. 4 + -4 + 24x = -44 + -4 Combine like terms: 4 + -4 = 0 0 + 24x = -44 + -4 24x = -44 + -4 Combine like terms: -44 + -4 = -48 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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