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Simplifying 2x + 47 = -6(x + 5) Reorder the terms: 47 + 2x = -6(x + 5) Reorder the terms: 47 + 2x = -6(5 + x) 47 + 2x = (5 * -6 + x * -6) 47 + 2x = (-30 + -6x) Solving 47 + 2x = -30 + -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. 47 + 2x + 6x = -30 + -6x + 6x Combine like terms: 2x + 6x = 8x 47 + 8x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 47 + 8x = -30 + 0 47 + 8x = -30 Add '-47' to each side of the equation. 47 + -47 + 8x = -30 + -47 Combine like terms: 47 + -47 = 0 0 + 8x = -30 + -47 8x = -30 + -47 Combine like terms: -30 + -47 = -77 8x = -77 Divide each side by '8'. x = -9.625 Simplifying x = -9.625
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