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Simplifying 4(1 + -6x) + -6(7x + 6) = 34 (1 * 4 + -6x * 4) + -6(7x + 6) = 34 (4 + -24x) + -6(7x + 6) = 34 Reorder the terms: 4 + -24x + -6(6 + 7x) = 34 4 + -24x + (6 * -6 + 7x * -6) = 34 4 + -24x + (-36 + -42x) = 34 Reorder the terms: 4 + -36 + -24x + -42x = 34 Combine like terms: 4 + -36 = -32 -32 + -24x + -42x = 34 Combine like terms: -24x + -42x = -66x -32 + -66x = 34 Solving -32 + -66x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -66x = 34 + 32 Combine like terms: -32 + 32 = 0 0 + -66x = 34 + 32 -66x = 34 + 32 Combine like terms: 34 + 32 = 66 -66x = 66 Divide each side by '-66'. x = -1 Simplifying x = -1
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