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Simplifying 0.2(8x + -5) = 2(6x + 25) Reorder the terms: 0.2(-5 + 8x) = 2(6x + 25) (-5 * 0.2 + 8x * 0.2) = 2(6x + 25) (-1 + 1.6x) = 2(6x + 25) Reorder the terms: -1 + 1.6x = 2(25 + 6x) -1 + 1.6x = (25 * 2 + 6x * 2) -1 + 1.6x = (50 + 12x) Solving -1 + 1.6x = 50 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 1.6x + -12x = 50 + 12x + -12x Combine like terms: 1.6x + -12x = -10.4x -1 + -10.4x = 50 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -10.4x = 50 + 0 -1 + -10.4x = 50 Add '1' to each side of the equation. -1 + 1 + -10.4x = 50 + 1 Combine like terms: -1 + 1 = 0 0 + -10.4x = 50 + 1 -10.4x = 50 + 1 Combine like terms: 50 + 1 = 51 -10.4x = 51 Divide each side by '-10.4'. x = -4.903846154 Simplifying x = -4.903846154
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