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Simplifying 8(3x + 1) = 2x + -6x Reorder the terms: 8(1 + 3x) = 2x + -6x (1 * 8 + 3x * 8) = 2x + -6x (8 + 24x) = 2x + -6x Combine like terms: 2x + -6x = -4x 8 + 24x = -4x Solving 8 + 24x = -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. 8 + 24x + 4x = -4x + 4x Combine like terms: 24x + 4x = 28x 8 + 28x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + 28x = 0 Add '-8' to each side of the equation. 8 + -8 + 28x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 28x = 0 + -8 28x = 0 + -8 Combine like terms: 0 + -8 = -8 28x = -8 Divide each side by '28'. x = -0.2857142857 Simplifying x = -0.2857142857
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