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Simplifying 6(4x + -4) + -1[2(2x + -3) + 5] = 0 Reorder the terms: 6(-4 + 4x) + -1[2(2x + -3) + 5] = 0 (-4 * 6 + 4x * 6) + -1[2(2x + -3) + 5] = 0 (-24 + 24x) + -1[2(2x + -3) + 5] = 0 Reorder the terms: -24 + 24x + -1[2(-3 + 2x) + 5] = 0 -24 + 24x + -1[(-3 * 2 + 2x * 2) + 5] = 0 -24 + 24x + -1[(-6 + 4x) + 5] = 0 Reorder the terms: -24 + 24x + -1[-6 + 5 + 4x] = 0 Combine like terms: -6 + 5 = -1 -24 + 24x + -1[-1 + 4x] = 0 -24 + 24x + [-1 * -1 + 4x * -1] = 0 -24 + 24x + [1 + -4x] = 0 Reorder the terms: -24 + 1 + 24x + -4x = 0 Combine like terms: -24 + 1 = -23 -23 + 24x + -4x = 0 Combine like terms: 24x + -4x = 20x -23 + 20x = 0 Solving -23 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 20x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 20x = 0 + 23 20x = 0 + 23 Combine like terms: 0 + 23 = 23 20x = 23 Divide each side by '20'. x = 1.15 Simplifying x = 1.15
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