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Simplifying 16(52x + 24) = 12(28x + -4) Reorder the terms: 16(24 + 52x) = 12(28x + -4) (24 * 16 + 52x * 16) = 12(28x + -4) (384 + 832x) = 12(28x + -4) Reorder the terms: 384 + 832x = 12(-4 + 28x) 384 + 832x = (-4 * 12 + 28x * 12) 384 + 832x = (-48 + 336x) Solving 384 + 832x = -48 + 336x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-336x' to each side of the equation. 384 + 832x + -336x = -48 + 336x + -336x Combine like terms: 832x + -336x = 496x 384 + 496x = -48 + 336x + -336x Combine like terms: 336x + -336x = 0 384 + 496x = -48 + 0 384 + 496x = -48 Add '-384' to each side of the equation. 384 + -384 + 496x = -48 + -384 Combine like terms: 384 + -384 = 0 0 + 496x = -48 + -384 496x = -48 + -384 Combine like terms: -48 + -384 = -432 496x = -432 Divide each side by '496'. x = -0.8709677419 Simplifying x = -0.8709677419
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