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Simplifying 8(x + -1) = -2(x + 19) Reorder the terms: 8(-1 + x) = -2(x + 19) (-1 * 8 + x * 8) = -2(x + 19) (-8 + 8x) = -2(x + 19) Reorder the terms: -8 + 8x = -2(19 + x) -8 + 8x = (19 * -2 + x * -2) -8 + 8x = (-38 + -2x) Solving -8 + 8x = -38 + -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. -8 + 8x + 2x = -38 + -2x + 2x Combine like terms: 8x + 2x = 10x -8 + 10x = -38 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 10x = -38 + 0 -8 + 10x = -38 Add '8' to each side of the equation. -8 + 8 + 10x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -38 + 8 10x = -38 + 8 Combine like terms: -38 + 8 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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