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Simplifying -8(x + 6) + 1 = 3x + -5(x + 1) Reorder the terms: -8(6 + x) + 1 = 3x + -5(x + 1) (6 * -8 + x * -8) + 1 = 3x + -5(x + 1) (-48 + -8x) + 1 = 3x + -5(x + 1) Reorder the terms: -48 + 1 + -8x = 3x + -5(x + 1) Combine like terms: -48 + 1 = -47 -47 + -8x = 3x + -5(x + 1) Reorder the terms: -47 + -8x = 3x + -5(1 + x) -47 + -8x = 3x + (1 * -5 + x * -5) -47 + -8x = 3x + (-5 + -5x) Reorder the terms: -47 + -8x = -5 + 3x + -5x Combine like terms: 3x + -5x = -2x -47 + -8x = -5 + -2x Solving -47 + -8x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -47 + -8x + 2x = -5 + -2x + 2x Combine like terms: -8x + 2x = -6x -47 + -6x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -47 + -6x = -5 + 0 -47 + -6x = -5 Add '47' to each side of the equation. -47 + 47 + -6x = -5 + 47 Combine like terms: -47 + 47 = 0 0 + -6x = -5 + 47 -6x = -5 + 47 Combine like terms: -5 + 47 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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