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Simplifying 4 = 4(6x + 6) + 7(-8 + -6x) Reorder the terms: 4 = 4(6 + 6x) + 7(-8 + -6x) 4 = (6 * 4 + 6x * 4) + 7(-8 + -6x) 4 = (24 + 24x) + 7(-8 + -6x) 4 = 24 + 24x + (-8 * 7 + -6x * 7) 4 = 24 + 24x + (-56 + -42x) Reorder the terms: 4 = 24 + -56 + 24x + -42x Combine like terms: 24 + -56 = -32 4 = -32 + 24x + -42x Combine like terms: 24x + -42x = -18x 4 = -32 + -18x Solving 4 = -32 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 4 + 18x = -32 + -18x + 18x Combine like terms: -18x + 18x = 0 4 + 18x = -32 + 0 4 + 18x = -32 Add '-4' to each side of the equation. 4 + -4 + 18x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = -32 + -4 18x = -32 + -4 Combine like terms: -32 + -4 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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