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Simplifying -5(4x + 5) + -5 = -4(x + 4) + 2x Reorder the terms: -5(5 + 4x) + -5 = -4(x + 4) + 2x (5 * -5 + 4x * -5) + -5 = -4(x + 4) + 2x (-25 + -20x) + -5 = -4(x + 4) + 2x Reorder the terms: -25 + -5 + -20x = -4(x + 4) + 2x Combine like terms: -25 + -5 = -30 -30 + -20x = -4(x + 4) + 2x Reorder the terms: -30 + -20x = -4(4 + x) + 2x -30 + -20x = (4 * -4 + x * -4) + 2x -30 + -20x = (-16 + -4x) + 2x Combine like terms: -4x + 2x = -2x -30 + -20x = -16 + -2x Solving -30 + -20x = -16 + -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. -30 + -20x + 2x = -16 + -2x + 2x Combine like terms: -20x + 2x = -18x -30 + -18x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + -18x = -16 + 0 -30 + -18x = -16 Add '30' to each side of the equation. -30 + 30 + -18x = -16 + 30 Combine like terms: -30 + 30 = 0 0 + -18x = -16 + 30 -18x = -16 + 30 Combine like terms: -16 + 30 = 14 -18x = 14 Divide each side by '-18'. x = -0.7777777778 Simplifying x = -0.7777777778
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