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Simplifying 5 + -3(4 + -2x) = 8 + -2(5x + 1) 5 + (4 * -3 + -2x * -3) = 8 + -2(5x + 1) 5 + (-12 + 6x) = 8 + -2(5x + 1) Combine like terms: 5 + -12 = -7 -7 + 6x = 8 + -2(5x + 1) Reorder the terms: -7 + 6x = 8 + -2(1 + 5x) -7 + 6x = 8 + (1 * -2 + 5x * -2) -7 + 6x = 8 + (-2 + -10x) Combine like terms: 8 + -2 = 6 -7 + 6x = 6 + -10x Solving -7 + 6x = 6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -7 + 6x + 10x = 6 + -10x + 10x Combine like terms: 6x + 10x = 16x -7 + 16x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 16x = 6 + 0 -7 + 16x = 6 Add '7' to each side of the equation. -7 + 7 + 16x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 6 + 7 16x = 6 + 7 Combine like terms: 6 + 7 = 13 16x = 13 Divide each side by '16'. x = 0.8125 Simplifying x = 0.8125
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