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Simplifying -5(x + 1) = 5x + -7 + 2(4x + 4) Reorder the terms: -5(1 + x) = 5x + -7 + 2(4x + 4) (1 * -5 + x * -5) = 5x + -7 + 2(4x + 4) (-5 + -5x) = 5x + -7 + 2(4x + 4) Reorder the terms: -5 + -5x = 5x + -7 + 2(4 + 4x) -5 + -5x = 5x + -7 + (4 * 2 + 4x * 2) -5 + -5x = 5x + -7 + (8 + 8x) Reorder the terms: -5 + -5x = -7 + 8 + 5x + 8x Combine like terms: -7 + 8 = 1 -5 + -5x = 1 + 5x + 8x Combine like terms: 5x + 8x = 13x -5 + -5x = 1 + 13x Solving -5 + -5x = 1 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -5 + -5x + -13x = 1 + 13x + -13x Combine like terms: -5x + -13x = -18x -5 + -18x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 -5 + -18x = 1 + 0 -5 + -18x = 1 Add '5' to each side of the equation. -5 + 5 + -18x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -18x = 1 + 5 -18x = 1 + 5 Combine like terms: 1 + 5 = 6 -18x = 6 Divide each side by '-18'. x = -0.3333333333 Simplifying x = -0.3333333333
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