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Simplifying 0.333(9x + 6) = 0.25(4x + -12) + -1 Reorder the terms: 0.333(6 + 9x) = 0.25(4x + -12) + -1 (6 * 0.333 + 9x * 0.333) = 0.25(4x + -12) + -1 (1.998 + 2.997x) = 0.25(4x + -12) + -1 Reorder the terms: 1.998 + 2.997x = 0.25(-12 + 4x) + -1 1.998 + 2.997x = (-12 * 0.25 + 4x * 0.25) + -1 1.998 + 2.997x = (-3 + 1x) + -1 Reorder the terms: 1.998 + 2.997x = -3 + -1 + 1x Combine like terms: -3 + -1 = -4 1.998 + 2.997x = -4 + 1x Solving 1.998 + 2.997x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.998 + 2.997x + -1x = -4 + 1x + -1x Combine like terms: 2.997x + -1x = 1.997x 1.998 + 1.997x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 1.998 + 1.997x = -4 + 0 1.998 + 1.997x = -4 Add '-1.998' to each side of the equation. 1.998 + -1.998 + 1.997x = -4 + -1.998 Combine like terms: 1.998 + -1.998 = 0.000 0.000 + 1.997x = -4 + -1.998 1.997x = -4 + -1.998 Combine like terms: -4 + -1.998 = -5.998 1.997x = -5.998 Divide each side by '1.997'. x = -3.003505258 Simplifying x = -3.003505258
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