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Simplifying 0.2(12x + -5) = 3(8x + 2) + -16 Reorder the terms: 0.2(-5 + 12x) = 3(8x + 2) + -16 (-5 * 0.2 + 12x * 0.2) = 3(8x + 2) + -16 (-1 + 2.4x) = 3(8x + 2) + -16 Reorder the terms: -1 + 2.4x = 3(2 + 8x) + -16 -1 + 2.4x = (2 * 3 + 8x * 3) + -16 -1 + 2.4x = (6 + 24x) + -16 Reorder the terms: -1 + 2.4x = 6 + -16 + 24x Combine like terms: 6 + -16 = -10 -1 + 2.4x = -10 + 24x Solving -1 + 2.4x = -10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -1 + 2.4x + -24x = -10 + 24x + -24x Combine like terms: 2.4x + -24x = -21.6x -1 + -21.6x = -10 + 24x + -24x Combine like terms: 24x + -24x = 0 -1 + -21.6x = -10 + 0 -1 + -21.6x = -10 Add '1' to each side of the equation. -1 + 1 + -21.6x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -21.6x = -10 + 1 -21.6x = -10 + 1 Combine like terms: -10 + 1 = -9 -21.6x = -9 Divide each side by '-21.6'. x = 0.4166666667 Simplifying x = 0.4166666667
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