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Simplifying 0.25(6x + 48) + -20 = -0.333(4x + -72) Reorder the terms: 0.25(48 + 6x) + -20 = -0.333(4x + -72) (48 * 0.25 + 6x * 0.25) + -20 = -0.333(4x + -72) (12 + 1.5x) + -20 = -0.333(4x + -72) Reorder the terms: 12 + -20 + 1.5x = -0.333(4x + -72) Combine like terms: 12 + -20 = -8 -8 + 1.5x = -0.333(4x + -72) Reorder the terms: -8 + 1.5x = -0.333(-72 + 4x) -8 + 1.5x = (-72 * -0.333 + 4x * -0.333) -8 + 1.5x = (23.976 + -1.332x) Solving -8 + 1.5x = 23.976 + -1.332x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.332x' to each side of the equation. -8 + 1.5x + 1.332x = 23.976 + -1.332x + 1.332x Combine like terms: 1.5x + 1.332x = 2.832x -8 + 2.832x = 23.976 + -1.332x + 1.332x Combine like terms: -1.332x + 1.332x = 0.000 -8 + 2.832x = 23.976 + 0.000 -8 + 2.832x = 23.976 Add '8' to each side of the equation. -8 + 8 + 2.832x = 23.976 + 8 Combine like terms: -8 + 8 = 0 0 + 2.832x = 23.976 + 8 2.832x = 23.976 + 8 Combine like terms: 23.976 + 8 = 31.976 2.832x = 31.976 Divide each side by '2.832'. x = 11.29096045 Simplifying x = 11.29096045
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