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Simplifying 8(x + -1) = -4(x + 3) + 31 Reorder the terms: 8(-1 + x) = -4(x + 3) + 31 (-1 * 8 + x * 8) = -4(x + 3) + 31 (-8 + 8x) = -4(x + 3) + 31 Reorder the terms: -8 + 8x = -4(3 + x) + 31 -8 + 8x = (3 * -4 + x * -4) + 31 -8 + 8x = (-12 + -4x) + 31 Reorder the terms: -8 + 8x = -12 + 31 + -4x Combine like terms: -12 + 31 = 19 -8 + 8x = 19 + -4x Solving -8 + 8x = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 8x + 4x = 19 + -4x + 4x Combine like terms: 8x + 4x = 12x -8 + 12x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 12x = 19 + 0 -8 + 12x = 19 Add '8' to each side of the equation. -8 + 8 + 12x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 19 + 8 12x = 19 + 8 Combine like terms: 19 + 8 = 27 12x = 27 Divide each side by '12'. x = 2.25 Simplifying x = 2.25
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