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Simplifying -4(4x + 1) = 3(2x + -1) Reorder the terms: -4(1 + 4x) = 3(2x + -1) (1 * -4 + 4x * -4) = 3(2x + -1) (-4 + -16x) = 3(2x + -1) Reorder the terms: -4 + -16x = 3(-1 + 2x) -4 + -16x = (-1 * 3 + 2x * 3) -4 + -16x = (-3 + 6x) Solving -4 + -16x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -16x + -6x = -3 + 6x + -6x Combine like terms: -16x + -6x = -22x -4 + -22x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -22x = -3 + 0 -4 + -22x = -3 Add '4' to each side of the equation. -4 + 4 + -22x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -22x = -3 + 4 -22x = -3 + 4 Combine like terms: -3 + 4 = 1 -22x = 1 Divide each side by '-22'. x = -0.04545454545 Simplifying x = -0.04545454545
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