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Simplifying -5(4x + 1) + -3 = -5(x + 4) + 3x Reorder the terms: -5(1 + 4x) + -3 = -5(x + 4) + 3x (1 * -5 + 4x * -5) + -3 = -5(x + 4) + 3x (-5 + -20x) + -3 = -5(x + 4) + 3x Reorder the terms: -5 + -3 + -20x = -5(x + 4) + 3x Combine like terms: -5 + -3 = -8 -8 + -20x = -5(x + 4) + 3x Reorder the terms: -8 + -20x = -5(4 + x) + 3x -8 + -20x = (4 * -5 + x * -5) + 3x -8 + -20x = (-20 + -5x) + 3x Combine like terms: -5x + 3x = -2x -8 + -20x = -20 + -2x Solving -8 + -20x = -20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + -20x + 2x = -20 + -2x + 2x Combine like terms: -20x + 2x = -18x -8 + -18x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -18x = -20 + 0 -8 + -18x = -20 Add '8' to each side of the equation. -8 + 8 + -18x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -18x = -20 + 8 -18x = -20 + 8 Combine like terms: -20 + 8 = -12 -18x = -12 Divide each side by '-18'. x = 0.6666666667 Simplifying x = 0.6666666667
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