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Simplifying 16(6x + 1) = 124 + 12(4x + 3) Reorder the terms: 16(1 + 6x) = 124 + 12(4x + 3) (1 * 16 + 6x * 16) = 124 + 12(4x + 3) (16 + 96x) = 124 + 12(4x + 3) Reorder the terms: 16 + 96x = 124 + 12(3 + 4x) 16 + 96x = 124 + (3 * 12 + 4x * 12) 16 + 96x = 124 + (36 + 48x) Combine like terms: 124 + 36 = 160 16 + 96x = 160 + 48x Solving 16 + 96x = 160 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 16 + 96x + -48x = 160 + 48x + -48x Combine like terms: 96x + -48x = 48x 16 + 48x = 160 + 48x + -48x Combine like terms: 48x + -48x = 0 16 + 48x = 160 + 0 16 + 48x = 160 Add '-16' to each side of the equation. 16 + -16 + 48x = 160 + -16 Combine like terms: 16 + -16 = 0 0 + 48x = 160 + -16 48x = 160 + -16 Combine like terms: 160 + -16 = 144 48x = 144 Divide each side by '48'. x = 3 Simplifying x = 3
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