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Simplifying 0.006 + -1(x + 1) + -5 = 5x + -3(1 + x) Reorder the terms: 0.006 + -1(1 + x) + -5 = 5x + -3(1 + x) 0.006 + (1 * -1 + x * -1) + -5 = 5x + -3(1 + x) 0.006 + (-1 + -1x) + -5 = 5x + -3(1 + x) Reorder the terms: 0.006 + -1 + -5 + -1x = 5x + -3(1 + x) Combine like terms: 0.006 + -1 = -0.994 -0.994 + -5 + -1x = 5x + -3(1 + x) Combine like terms: -0.994 + -5 = -5.994 -5.994 + -1x = 5x + -3(1 + x) -5.994 + -1x = 5x + (1 * -3 + x * -3) -5.994 + -1x = 5x + (-3 + -3x) Reorder the terms: -5.994 + -1x = -3 + 5x + -3x Combine like terms: 5x + -3x = 2x -5.994 + -1x = -3 + 2x Solving -5.994 + -1x = -3 + 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. -5.994 + -1x + -2x = -3 + 2x + -2x Combine like terms: -1x + -2x = -3x -5.994 + -3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -5.994 + -3x = -3 + 0 -5.994 + -3x = -3 Add '5.994' to each side of the equation. -5.994 + 5.994 + -3x = -3 + 5.994 Combine like terms: -5.994 + 5.994 = 0.000 0.000 + -3x = -3 + 5.994 -3x = -3 + 5.994 Combine like terms: -3 + 5.994 = 2.994 -3x = 2.994 Divide each side by '-3'. x = -0.998 Simplifying x = -0.998
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