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Simplifying 5 + 0.667(x + -9) + -7 = 6x + -12 Reorder the terms: 5 + 0.667(-9 + x) + -7 = 6x + -12 5 + (-9 * 0.667 + x * 0.667) + -7 = 6x + -12 5 + (-6.003 + 0.667x) + -7 = 6x + -12 Reorder the terms: 5 + -6.003 + -7 + 0.667x = 6x + -12 Combine like terms: 5 + -6.003 = -1.003 -1.003 + -7 + 0.667x = 6x + -12 Combine like terms: -1.003 + -7 = -8.003 -8.003 + 0.667x = 6x + -12 Reorder the terms: -8.003 + 0.667x = -12 + 6x Solving -8.003 + 0.667x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8.003 + 0.667x + -6x = -12 + 6x + -6x Combine like terms: 0.667x + -6x = -5.333x -8.003 + -5.333x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8.003 + -5.333x = -12 + 0 -8.003 + -5.333x = -12 Add '8.003' to each side of the equation. -8.003 + 8.003 + -5.333x = -12 + 8.003 Combine like terms: -8.003 + 8.003 = 0.000 0.000 + -5.333x = -12 + 8.003 -5.333x = -12 + 8.003 Combine like terms: -12 + 8.003 = -3.997 -5.333x = -3.997 Divide each side by '-5.333'. x = 0.7494843428 Simplifying x = 0.7494843428
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