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Simplifying 4 + 2(5x + -4) = 6[2 + -1(x + -1)] Reorder the terms: 4 + 2(-4 + 5x) = 6[2 + -1(x + -1)] 4 + (-4 * 2 + 5x * 2) = 6[2 + -1(x + -1)] 4 + (-8 + 10x) = 6[2 + -1(x + -1)] Combine like terms: 4 + -8 = -4 -4 + 10x = 6[2 + -1(x + -1)] Reorder the terms: -4 + 10x = 6[2 + -1(-1 + x)] -4 + 10x = 6[2 + (-1 * -1 + x * -1)] -4 + 10x = 6[2 + (1 + -1x)] Combine like terms: 2 + 1 = 3 -4 + 10x = 6[3 + -1x] -4 + 10x = [3 * 6 + -1x * 6] -4 + 10x = [18 + -6x] Solving -4 + 10x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 10x + 6x = 18 + -6x + 6x Combine like terms: 10x + 6x = 16x -4 + 16x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 16x = 18 + 0 -4 + 16x = 18 Add '4' to each side of the equation. -4 + 4 + 16x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 18 + 4 16x = 18 + 4 Combine like terms: 18 + 4 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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