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Simplifying 16(6x + 15) = 12(7x + 4) Reorder the terms: 16(15 + 6x) = 12(7x + 4) (15 * 16 + 6x * 16) = 12(7x + 4) (240 + 96x) = 12(7x + 4) Reorder the terms: 240 + 96x = 12(4 + 7x) 240 + 96x = (4 * 12 + 7x * 12) 240 + 96x = (48 + 84x) Solving 240 + 96x = 48 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 240 + 96x + -84x = 48 + 84x + -84x Combine like terms: 96x + -84x = 12x 240 + 12x = 48 + 84x + -84x Combine like terms: 84x + -84x = 0 240 + 12x = 48 + 0 240 + 12x = 48 Add '-240' to each side of the equation. 240 + -240 + 12x = 48 + -240 Combine like terms: 240 + -240 = 0 0 + 12x = 48 + -240 12x = 48 + -240 Combine like terms: 48 + -240 = -192 12x = -192 Divide each side by '12'. x = -16 Simplifying x = -16
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