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Simplifying -5(4x + 3) + -1 = -5(x + 5) + 4x Reorder the terms: -5(3 + 4x) + -1 = -5(x + 5) + 4x (3 * -5 + 4x * -5) + -1 = -5(x + 5) + 4x (-15 + -20x) + -1 = -5(x + 5) + 4x Reorder the terms: -15 + -1 + -20x = -5(x + 5) + 4x Combine like terms: -15 + -1 = -16 -16 + -20x = -5(x + 5) + 4x Reorder the terms: -16 + -20x = -5(5 + x) + 4x -16 + -20x = (5 * -5 + x * -5) + 4x -16 + -20x = (-25 + -5x) + 4x Combine like terms: -5x + 4x = -1x -16 + -20x = -25 + -1x Solving -16 + -20x = -25 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -16 + -20x + x = -25 + -1x + x Combine like terms: -20x + x = -19x -16 + -19x = -25 + -1x + x Combine like terms: -1x + x = 0 -16 + -19x = -25 + 0 -16 + -19x = -25 Add '16' to each side of the equation. -16 + 16 + -19x = -25 + 16 Combine like terms: -16 + 16 = 0 0 + -19x = -25 + 16 -19x = -25 + 16 Combine like terms: -25 + 16 = -9 -19x = -9 Divide each side by '-19'. x = 0.4736842105 Simplifying x = 0.4736842105
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