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Simplifying 5(-8x + -6) + 1 = 195 + 4(5x + 4) Reorder the terms: 5(-6 + -8x) + 1 = 195 + 4(5x + 4) (-6 * 5 + -8x * 5) + 1 = 195 + 4(5x + 4) (-30 + -40x) + 1 = 195 + 4(5x + 4) Reorder the terms: -30 + 1 + -40x = 195 + 4(5x + 4) Combine like terms: -30 + 1 = -29 -29 + -40x = 195 + 4(5x + 4) Reorder the terms: -29 + -40x = 195 + 4(4 + 5x) -29 + -40x = 195 + (4 * 4 + 5x * 4) -29 + -40x = 195 + (16 + 20x) Combine like terms: 195 + 16 = 211 -29 + -40x = 211 + 20x Solving -29 + -40x = 211 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -29 + -40x + -20x = 211 + 20x + -20x Combine like terms: -40x + -20x = -60x -29 + -60x = 211 + 20x + -20x Combine like terms: 20x + -20x = 0 -29 + -60x = 211 + 0 -29 + -60x = 211 Add '29' to each side of the equation. -29 + 29 + -60x = 211 + 29 Combine like terms: -29 + 29 = 0 0 + -60x = 211 + 29 -60x = 211 + 29 Combine like terms: 211 + 29 = 240 -60x = 240 Divide each side by '-60'. x = -4 Simplifying x = -4
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