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Simplifying 4(2x + 1) + -1 = 2x + 45 Reorder the terms: 4(1 + 2x) + -1 = 2x + 45 (1 * 4 + 2x * 4) + -1 = 2x + 45 (4 + 8x) + -1 = 2x + 45 Reorder the terms: 4 + -1 + 8x = 2x + 45 Combine like terms: 4 + -1 = 3 3 + 8x = 2x + 45 Reorder the terms: 3 + 8x = 45 + 2x Solving 3 + 8x = 45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 8x + -2x = 45 + 2x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 6x = 45 + 0 3 + 6x = 45 Add '-3' to each side of the equation. 3 + -3 + 6x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 45 + -3 6x = 45 + -3 Combine like terms: 45 + -3 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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