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Simplifying -5(3x + 16) = 10(6x + 7) Reorder the terms: -5(16 + 3x) = 10(6x + 7) (16 * -5 + 3x * -5) = 10(6x + 7) (-80 + -15x) = 10(6x + 7) Reorder the terms: -80 + -15x = 10(7 + 6x) -80 + -15x = (7 * 10 + 6x * 10) -80 + -15x = (70 + 60x) Solving -80 + -15x = 70 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -80 + -15x + -60x = 70 + 60x + -60x Combine like terms: -15x + -60x = -75x -80 + -75x = 70 + 60x + -60x Combine like terms: 60x + -60x = 0 -80 + -75x = 70 + 0 -80 + -75x = 70 Add '80' to each side of the equation. -80 + 80 + -75x = 70 + 80 Combine like terms: -80 + 80 = 0 0 + -75x = 70 + 80 -75x = 70 + 80 Combine like terms: 70 + 80 = 150 -75x = 150 Divide each side by '-75'. x = -2 Simplifying x = -2
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