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Simplifying 4(4x + 1) + -68 = 9x + -1 Reorder the terms: 4(1 + 4x) + -68 = 9x + -1 (1 * 4 + 4x * 4) + -68 = 9x + -1 (4 + 16x) + -68 = 9x + -1 Reorder the terms: 4 + -68 + 16x = 9x + -1 Combine like terms: 4 + -68 = -64 -64 + 16x = 9x + -1 Reorder the terms: -64 + 16x = -1 + 9x Solving -64 + 16x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -64 + 16x + -9x = -1 + 9x + -9x Combine like terms: 16x + -9x = 7x -64 + 7x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 -64 + 7x = -1 + 0 -64 + 7x = -1 Add '64' to each side of the equation. -64 + 64 + 7x = -1 + 64 Combine like terms: -64 + 64 = 0 0 + 7x = -1 + 64 7x = -1 + 64 Combine like terms: -1 + 64 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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