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Simplifying 12(4x + 6) = 14(4x + 16) Reorder the terms: 12(6 + 4x) = 14(4x + 16) (6 * 12 + 4x * 12) = 14(4x + 16) (72 + 48x) = 14(4x + 16) Reorder the terms: 72 + 48x = 14(16 + 4x) 72 + 48x = (16 * 14 + 4x * 14) 72 + 48x = (224 + 56x) Solving 72 + 48x = 224 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 72 + 48x + -56x = 224 + 56x + -56x Combine like terms: 48x + -56x = -8x 72 + -8x = 224 + 56x + -56x Combine like terms: 56x + -56x = 0 72 + -8x = 224 + 0 72 + -8x = 224 Add '-72' to each side of the equation. 72 + -72 + -8x = 224 + -72 Combine like terms: 72 + -72 = 0 0 + -8x = 224 + -72 -8x = 224 + -72 Combine like terms: 224 + -72 = 152 -8x = 152 Divide each side by '-8'. x = -19 Simplifying x = -19
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