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Simplifying 7(4x + 1) = 4x + -8x Reorder the terms: 7(1 + 4x) = 4x + -8x (1 * 7 + 4x * 7) = 4x + -8x (7 + 28x) = 4x + -8x Combine like terms: 4x + -8x = -4x 7 + 28x = -4x Solving 7 + 28x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 28x + 4x = -4x + 4x Combine like terms: 28x + 4x = 32x 7 + 32x = -4x + 4x Combine like terms: -4x + 4x = 0 7 + 32x = 0 Add '-7' to each side of the equation. 7 + -7 + 32x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 32x = 0 + -7 32x = 0 + -7 Combine like terms: 0 + -7 = -7 32x = -7 Divide each side by '32'. x = -0.21875 Simplifying x = -0.21875
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