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Simplifying 8(x + 1) + -3(5 + -2x) = 6 + -2(x + -1) Reorder the terms: 8(1 + x) + -3(5 + -2x) = 6 + -2(x + -1) (1 * 8 + x * 8) + -3(5 + -2x) = 6 + -2(x + -1) (8 + 8x) + -3(5 + -2x) = 6 + -2(x + -1) 8 + 8x + (5 * -3 + -2x * -3) = 6 + -2(x + -1) 8 + 8x + (-15 + 6x) = 6 + -2(x + -1) Reorder the terms: 8 + -15 + 8x + 6x = 6 + -2(x + -1) Combine like terms: 8 + -15 = -7 -7 + 8x + 6x = 6 + -2(x + -1) Combine like terms: 8x + 6x = 14x -7 + 14x = 6 + -2(x + -1) Reorder the terms: -7 + 14x = 6 + -2(-1 + x) -7 + 14x = 6 + (-1 * -2 + x * -2) -7 + 14x = 6 + (2 + -2x) Combine like terms: 6 + 2 = 8 -7 + 14x = 8 + -2x Solving -7 + 14x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 14x + 2x = 8 + -2x + 2x Combine like terms: 14x + 2x = 16x -7 + 16x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 16x = 8 + 0 -7 + 16x = 8 Add '7' to each side of the equation. -7 + 7 + 16x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 8 + 7 16x = 8 + 7 Combine like terms: 8 + 7 = 15 16x = 15 Divide each side by '16'. x = 0.9375 Simplifying x = 0.9375
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