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Simplifying 17x + 12 = 4(4x + 6) Reorder the terms: 12 + 17x = 4(4x + 6) Reorder the terms: 12 + 17x = 4(6 + 4x) 12 + 17x = (6 * 4 + 4x * 4) 12 + 17x = (24 + 16x) Solving 12 + 17x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 17x + -16x = 24 + 16x + -16x Combine like terms: 17x + -16x = 1x 12 + 1x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + 1x = 24 + 0 12 + 1x = 24 Add '-12' to each side of the equation. 12 + -12 + 1x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 24 + -12 1x = 24 + -12 Combine like terms: 24 + -12 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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