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Simplifying 7 + -2(4 + -3x) + 8x = -1(x + 31) 7 + (4 * -2 + -3x * -2) + 8x = -1(x + 31) 7 + (-8 + 6x) + 8x = -1(x + 31) Combine like terms: 7 + -8 = -1 -1 + 6x + 8x = -1(x + 31) Combine like terms: 6x + 8x = 14x -1 + 14x = -1(x + 31) Reorder the terms: -1 + 14x = -1(31 + x) -1 + 14x = (31 * -1 + x * -1) -1 + 14x = (-31 + -1x) Solving -1 + 14x = -31 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 14x + x = -31 + -1x + x Combine like terms: 14x + x = 15x -1 + 15x = -31 + -1x + x Combine like terms: -1x + x = 0 -1 + 15x = -31 + 0 -1 + 15x = -31 Add '1' to each side of the equation. -1 + 1 + 15x = -31 + 1 Combine like terms: -1 + 1 = 0 0 + 15x = -31 + 1 15x = -31 + 1 Combine like terms: -31 + 1 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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