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Simplifying 2.56 + x + -1(2x + 4) = 12x + 0.56 Reorder the terms: 2.56 + x + -1(4 + 2x) = 12x + 0.56 2.56 + x + (4 * -1 + 2x * -1) = 12x + 0.56 2.56 + x + (-4 + -2x) = 12x + 0.56 Reorder the terms: 2.56 + -4 + x + -2x = 12x + 0.56 Combine like terms: 2.56 + -4 = -1.44 -1.44 + x + -2x = 12x + 0.56 Combine like terms: x + -2x = -1x -1.44 + -1x = 12x + 0.56 Reorder the terms: -1.44 + -1x = 0.56 + 12x Solving -1.44 + -1x = 0.56 + 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. -1.44 + -1x + -12x = 0.56 + 12x + -12x Combine like terms: -1x + -12x = -13x -1.44 + -13x = 0.56 + 12x + -12x Combine like terms: 12x + -12x = 0 -1.44 + -13x = 0.56 + 0 -1.44 + -13x = 0.56 Add '1.44' to each side of the equation. -1.44 + 1.44 + -13x = 0.56 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + -13x = 0.56 + 1.44 -13x = 0.56 + 1.44 Combine like terms: 0.56 + 1.44 = 2 -13x = 2 Divide each side by '-13'. x = -0.1538461538 Simplifying x = -0.1538461538
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