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Simplifying 4(4x + 4) + 33 = 10x + 1 Reorder the terms: 4(4 + 4x) + 33 = 10x + 1 (4 * 4 + 4x * 4) + 33 = 10x + 1 (16 + 16x) + 33 = 10x + 1 Reorder the terms: 16 + 33 + 16x = 10x + 1 Combine like terms: 16 + 33 = 49 49 + 16x = 10x + 1 Reorder the terms: 49 + 16x = 1 + 10x Solving 49 + 16x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 49 + 16x + -10x = 1 + 10x + -10x Combine like terms: 16x + -10x = 6x 49 + 6x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 49 + 6x = 1 + 0 49 + 6x = 1 Add '-49' to each side of the equation. 49 + -49 + 6x = 1 + -49 Combine like terms: 49 + -49 = 0 0 + 6x = 1 + -49 6x = 1 + -49 Combine like terms: 1 + -49 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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