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Simplifying 6[2 + -1(3 + 4x)] = -8 + 2(1 + -14x) 6[2 + (3 * -1 + 4x * -1)] = -8 + 2(1 + -14x) 6[2 + (-3 + -4x)] = -8 + 2(1 + -14x) Combine like terms: 2 + -3 = -1 6[-1 + -4x] = -8 + 2(1 + -14x) [-1 * 6 + -4x * 6] = -8 + 2(1 + -14x) [-6 + -24x] = -8 + 2(1 + -14x) -6 + -24x = -8 + (1 * 2 + -14x * 2) -6 + -24x = -8 + (2 + -28x) Combine like terms: -8 + 2 = -6 -6 + -24x = -6 + -28x Add '6' to each side of the equation. -6 + 6 + -24x = -6 + 6 + -28x Combine like terms: -6 + 6 = 0 0 + -24x = -6 + 6 + -28x -24x = -6 + 6 + -28x Combine like terms: -6 + 6 = 0 -24x = 0 + -28x -24x = -28x Solving -24x = -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -24x + 28x = -28x + 28x Combine like terms: -24x + 28x = 4x 4x = -28x + 28x Combine like terms: -28x + 28x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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