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Simplifying 3(4x + -16) = 2(4x + 2) Reorder the terms: 3(-16 + 4x) = 2(4x + 2) (-16 * 3 + 4x * 3) = 2(4x + 2) (-48 + 12x) = 2(4x + 2) Reorder the terms: -48 + 12x = 2(2 + 4x) -48 + 12x = (2 * 2 + 4x * 2) -48 + 12x = (4 + 8x) Solving -48 + 12x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -48 + 12x + -8x = 4 + 8x + -8x Combine like terms: 12x + -8x = 4x -48 + 4x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -48 + 4x = 4 + 0 -48 + 4x = 4 Add '48' to each side of the equation. -48 + 48 + 4x = 4 + 48 Combine like terms: -48 + 48 = 0 0 + 4x = 4 + 48 4x = 4 + 48 Combine like terms: 4 + 48 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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