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Simplifying 66 = 6(8x + -4) + -6(x + 6) Reorder the terms: 66 = 6(-4 + 8x) + -6(x + 6) 66 = (-4 * 6 + 8x * 6) + -6(x + 6) 66 = (-24 + 48x) + -6(x + 6) Reorder the terms: 66 = -24 + 48x + -6(6 + x) 66 = -24 + 48x + (6 * -6 + x * -6) 66 = -24 + 48x + (-36 + -6x) Reorder the terms: 66 = -24 + -36 + 48x + -6x Combine like terms: -24 + -36 = -60 66 = -60 + 48x + -6x Combine like terms: 48x + -6x = 42x 66 = -60 + 42x Solving 66 = -60 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 66 + -42x = -60 + 42x + -42x Combine like terms: 42x + -42x = 0 66 + -42x = -60 + 0 66 + -42x = -60 Add '-66' to each side of the equation. 66 + -66 + -42x = -60 + -66 Combine like terms: 66 + -66 = 0 0 + -42x = -60 + -66 -42x = -60 + -66 Combine like terms: -60 + -66 = -126 -42x = -126 Divide each side by '-42'. x = 3 Simplifying x = 3
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