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Simplifying 17x + -6 = 4(4x + 4) + -10 Reorder the terms: -6 + 17x = 4(4x + 4) + -10 Reorder the terms: -6 + 17x = 4(4 + 4x) + -10 -6 + 17x = (4 * 4 + 4x * 4) + -10 -6 + 17x = (16 + 16x) + -10 Reorder the terms: -6 + 17x = 16 + -10 + 16x Combine like terms: 16 + -10 = 6 -6 + 17x = 6 + 16x Solving -6 + 17x = 6 + 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. -6 + 17x + -16x = 6 + 16x + -16x Combine like terms: 17x + -16x = 1x -6 + 1x = 6 + 16x + -16x Combine like terms: 16x + -16x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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