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Simplifying 8(x + -2) = -4(x + 3) + 42 Reorder the terms: 8(-2 + x) = -4(x + 3) + 42 (-2 * 8 + x * 8) = -4(x + 3) + 42 (-16 + 8x) = -4(x + 3) + 42 Reorder the terms: -16 + 8x = -4(3 + x) + 42 -16 + 8x = (3 * -4 + x * -4) + 42 -16 + 8x = (-12 + -4x) + 42 Reorder the terms: -16 + 8x = -12 + 42 + -4x Combine like terms: -12 + 42 = 30 -16 + 8x = 30 + -4x Solving -16 + 8x = 30 + -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. -16 + 8x + 4x = 30 + -4x + 4x Combine like terms: 8x + 4x = 12x -16 + 12x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 12x = 30 + 0 -16 + 12x = 30 Add '16' to each side of the equation. -16 + 16 + 12x = 30 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 30 + 16 12x = 30 + 16 Combine like terms: 30 + 16 = 46 12x = 46 Divide each side by '12'. x = 3.833333333 Simplifying x = 3.833333333
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