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Simplifying -3(4x + 1) + -2 = -4(x + 4) + 5x Reorder the terms: -3(1 + 4x) + -2 = -4(x + 4) + 5x (1 * -3 + 4x * -3) + -2 = -4(x + 4) + 5x (-3 + -12x) + -2 = -4(x + 4) + 5x Reorder the terms: -3 + -2 + -12x = -4(x + 4) + 5x Combine like terms: -3 + -2 = -5 -5 + -12x = -4(x + 4) + 5x Reorder the terms: -5 + -12x = -4(4 + x) + 5x -5 + -12x = (4 * -4 + x * -4) + 5x -5 + -12x = (-16 + -4x) + 5x Combine like terms: -4x + 5x = 1x -5 + -12x = -16 + 1x Solving -5 + -12x = -16 + 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. -5 + -12x + -1x = -16 + 1x + -1x Combine like terms: -12x + -1x = -13x -5 + -13x = -16 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -13x = -16 + 0 -5 + -13x = -16 Add '5' to each side of the equation. -5 + 5 + -13x = -16 + 5 Combine like terms: -5 + 5 = 0 0 + -13x = -16 + 5 -13x = -16 + 5 Combine like terms: -16 + 5 = -11 -13x = -11 Divide each side by '-13'. x = 0.8461538462 Simplifying x = 0.8461538462
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