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Simplifying 4 + -5(x + 1) = 4(2x + 2) Reorder the terms: 4 + -5(1 + x) = 4(2x + 2) 4 + (1 * -5 + x * -5) = 4(2x + 2) 4 + (-5 + -5x) = 4(2x + 2) Combine like terms: 4 + -5 = -1 -1 + -5x = 4(2x + 2) Reorder the terms: -1 + -5x = 4(2 + 2x) -1 + -5x = (2 * 4 + 2x * 4) -1 + -5x = (8 + 8x) Solving -1 + -5x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + -5x + -8x = 8 + 8x + -8x Combine like terms: -5x + -8x = -13x -1 + -13x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -13x = 8 + 0 -1 + -13x = 8 Add '1' to each side of the equation. -1 + 1 + -13x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = 8 + 1 -13x = 8 + 1 Combine like terms: 8 + 1 = 9 -13x = 9 Divide each side by '-13'. x = -0.6923076923 Simplifying x = -0.6923076923
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