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Simplifying 4(x + 2) = 16(3x + -4) Reorder the terms: 4(2 + x) = 16(3x + -4) (2 * 4 + x * 4) = 16(3x + -4) (8 + 4x) = 16(3x + -4) Reorder the terms: 8 + 4x = 16(-4 + 3x) 8 + 4x = (-4 * 16 + 3x * 16) 8 + 4x = (-64 + 48x) Solving 8 + 4x = -64 + 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. 8 + 4x + -48x = -64 + 48x + -48x Combine like terms: 4x + -48x = -44x 8 + -44x = -64 + 48x + -48x Combine like terms: 48x + -48x = 0 8 + -44x = -64 + 0 8 + -44x = -64 Add '-8' to each side of the equation. 8 + -8 + -44x = -64 + -8 Combine like terms: 8 + -8 = 0 0 + -44x = -64 + -8 -44x = -64 + -8 Combine like terms: -64 + -8 = -72 -44x = -72 Divide each side by '-44'. x = 1.636363636 Simplifying x = 1.636363636
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