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Simplifying 7(4x + 1) = 4x + -7x Reorder the terms: 7(1 + 4x) = 4x + -7x (1 * 7 + 4x * 7) = 4x + -7x (7 + 28x) = 4x + -7x Combine like terms: 4x + -7x = -3x 7 + 28x = -3x Solving 7 + 28x = -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. 7 + 28x + 3x = -3x + 3x Combine like terms: 28x + 3x = 31x 7 + 31x = -3x + 3x Combine like terms: -3x + 3x = 0 7 + 31x = 0 Add '-7' to each side of the equation. 7 + -7 + 31x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 31x = 0 + -7 31x = 0 + -7 Combine like terms: 0 + -7 = -7 31x = -7 Divide each side by '31'. x = -0.2258064516 Simplifying x = -0.2258064516
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