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Simplifying (5x + -2)(10) + 4x + -1 = (x + 2x + -1)(-4) Reorder the terms: (-2 + 5x)(10) + 4x + -1 = (x + 2x + -1)(-4) Reorder the terms for easier multiplication: 10(-2 + 5x) + 4x + -1 = (x + 2x + -1)(-4) (-2 * 10 + 5x * 10) + 4x + -1 = (x + 2x + -1)(-4) (-20 + 50x) + 4x + -1 = (x + 2x + -1)(-4) Reorder the terms: -20 + -1 + 50x + 4x = (x + 2x + -1)(-4) Combine like terms: -20 + -1 = -21 -21 + 50x + 4x = (x + 2x + -1)(-4) Combine like terms: 50x + 4x = 54x -21 + 54x = (x + 2x + -1)(-4) Reorder the terms: -21 + 54x = (-1 + x + 2x)(-4) Combine like terms: x + 2x = 3x -21 + 54x = (-1 + 3x)(-4) Reorder the terms for easier multiplication: -21 + 54x = -4(-1 + 3x) -21 + 54x = (-1 * -4 + 3x * -4) -21 + 54x = (4 + -12x) Solving -21 + 54x = 4 + -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. -21 + 54x + 12x = 4 + -12x + 12x Combine like terms: 54x + 12x = 66x -21 + 66x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 -21 + 66x = 4 + 0 -21 + 66x = 4 Add '21' to each side of the equation. -21 + 21 + 66x = 4 + 21 Combine like terms: -21 + 21 = 0 0 + 66x = 4 + 21 66x = 4 + 21 Combine like terms: 4 + 21 = 25 66x = 25 Divide each side by '66'. x = 0.3787878788 Simplifying x = 0.3787878788
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