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Simplifying 4(2x + 1) = 3(x + -1) + 7 Reorder the terms: 4(1 + 2x) = 3(x + -1) + 7 (1 * 4 + 2x * 4) = 3(x + -1) + 7 (4 + 8x) = 3(x + -1) + 7 Reorder the terms: 4 + 8x = 3(-1 + x) + 7 4 + 8x = (-1 * 3 + x * 3) + 7 4 + 8x = (-3 + 3x) + 7 Reorder the terms: 4 + 8x = -3 + 7 + 3x Combine like terms: -3 + 7 = 4 4 + 8x = 4 + 3x Add '-4' to each side of the equation. 4 + -4 + 8x = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + 8x = 4 + -4 + 3x 8x = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 8x = 0 + 3x 8x = 3x Solving 8x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8x + -3x = 3x + -3x Combine like terms: 8x + -3x = 5x 5x = 3x + -3x Combine like terms: 3x + -3x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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