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Simplifying 17x + -4 = 4(4x + 4) + -12 Reorder the terms: -4 + 17x = 4(4x + 4) + -12 Reorder the terms: -4 + 17x = 4(4 + 4x) + -12 -4 + 17x = (4 * 4 + 4x * 4) + -12 -4 + 17x = (16 + 16x) + -12 Reorder the terms: -4 + 17x = 16 + -12 + 16x Combine like terms: 16 + -12 = 4 -4 + 17x = 4 + 16x Solving -4 + 17x = 4 + 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. -4 + 17x + -16x = 4 + 16x + -16x Combine like terms: 17x + -16x = 1x -4 + 1x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 -4 + 1x = 4 + 0 -4 + 1x = 4 Add '4' to each side of the equation. -4 + 4 + 1x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 4 + 4 1x = 4 + 4 Combine like terms: 4 + 4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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