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Simplifying 4(4x + -1) + 5x = 3(-2 + 8x) Reorder the terms: 4(-1 + 4x) + 5x = 3(-2 + 8x) (-1 * 4 + 4x * 4) + 5x = 3(-2 + 8x) (-4 + 16x) + 5x = 3(-2 + 8x) Combine like terms: 16x + 5x = 21x -4 + 21x = 3(-2 + 8x) -4 + 21x = (-2 * 3 + 8x * 3) -4 + 21x = (-6 + 24x) Solving -4 + 21x = -6 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -4 + 21x + -24x = -6 + 24x + -24x Combine like terms: 21x + -24x = -3x -4 + -3x = -6 + 24x + -24x Combine like terms: 24x + -24x = 0 -4 + -3x = -6 + 0 -4 + -3x = -6 Add '4' to each side of the equation. -4 + 4 + -3x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -6 + 4 -3x = -6 + 4 Combine like terms: -6 + 4 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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