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Simplifying -7(x + 6) + -5 = 1(x + -2) Reorder the terms: -7(6 + x) + -5 = 1(x + -2) (6 * -7 + x * -7) + -5 = 1(x + -2) (-42 + -7x) + -5 = 1(x + -2) Reorder the terms: -42 + -5 + -7x = 1(x + -2) Combine like terms: -42 + -5 = -47 -47 + -7x = 1(x + -2) Reorder the terms: -47 + -7x = 1(-2 + x) -47 + -7x = (-2 * 1 + x * 1) -47 + -7x = (-2 + 1x) Solving -47 + -7x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -47 + -7x + -1x = -2 + 1x + -1x Combine like terms: -7x + -1x = -8x -47 + -8x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -47 + -8x = -2 + 0 -47 + -8x = -2 Add '47' to each side of the equation. -47 + 47 + -8x = -2 + 47 Combine like terms: -47 + 47 = 0 0 + -8x = -2 + 47 -8x = -2 + 47 Combine like terms: -2 + 47 = 45 -8x = 45 Divide each side by '-8'. x = -5.625 Simplifying x = -5.625
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