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Simplifying 11 + -47 = 6(x + -2) + -6 Combine like terms: 11 + -47 = -36 -36 = 6(x + -2) + -6 Reorder the terms: -36 = 6(-2 + x) + -6 -36 = (-2 * 6 + x * 6) + -6 -36 = (-12 + 6x) + -6 Reorder the terms: -36 = -12 + -6 + 6x Combine like terms: -12 + -6 = -18 -36 = -18 + 6x Solving -36 = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + -6x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + -6x = -18 + 0 -36 + -6x = -18 Add '36' to each side of the equation. -36 + 36 + -6x = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = -18 + 36 -6x = -18 + 36 Combine like terms: -18 + 36 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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