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Simplifying -5(x + 1) = x + -1 + 3(4x + 4) Reorder the terms: -5(1 + x) = x + -1 + 3(4x + 4) (1 * -5 + x * -5) = x + -1 + 3(4x + 4) (-5 + -5x) = x + -1 + 3(4x + 4) Reorder the terms: -5 + -5x = x + -1 + 3(4 + 4x) -5 + -5x = x + -1 + (4 * 3 + 4x * 3) -5 + -5x = x + -1 + (12 + 12x) Reorder the terms: -5 + -5x = -1 + 12 + x + 12x Combine like terms: -1 + 12 = 11 -5 + -5x = 11 + x + 12x Combine like terms: x + 12x = 13x -5 + -5x = 11 + 13x Solving -5 + -5x = 11 + 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 = 11 + 13x + -13x Combine like terms: -5x + -13x = -18x -5 + -18x = 11 + 13x + -13x Combine like terms: 13x + -13x = 0 -5 + -18x = 11 + 0 -5 + -18x = 11 Add '5' to each side of the equation. -5 + 5 + -18x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -18x = 11 + 5 -18x = 11 + 5 Combine like terms: 11 + 5 = 16 -18x = 16 Divide each side by '-18'. x = -0.8888888889 Simplifying x = -0.8888888889
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