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Simplifying x + 6(x + -6) = 4(x + -6) + -33 Reorder the terms: x + 6(-6 + x) = 4(x + -6) + -33 x + (-6 * 6 + x * 6) = 4(x + -6) + -33 x + (-36 + 6x) = 4(x + -6) + -33 Reorder the terms: -36 + x + 6x = 4(x + -6) + -33 Combine like terms: x + 6x = 7x -36 + 7x = 4(x + -6) + -33 Reorder the terms: -36 + 7x = 4(-6 + x) + -33 -36 + 7x = (-6 * 4 + x * 4) + -33 -36 + 7x = (-24 + 4x) + -33 Reorder the terms: -36 + 7x = -24 + -33 + 4x Combine like terms: -24 + -33 = -57 -36 + 7x = -57 + 4x Solving -36 + 7x = -57 + 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. -36 + 7x + -4x = -57 + 4x + -4x Combine like terms: 7x + -4x = 3x -36 + 3x = -57 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 3x = -57 + 0 -36 + 3x = -57 Add '36' to each side of the equation. -36 + 36 + 3x = -57 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = -57 + 36 3x = -57 + 36 Combine like terms: -57 + 36 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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