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Simplifying 8(x + -3) = -4(x + 2) + 29 Reorder the terms: 8(-3 + x) = -4(x + 2) + 29 (-3 * 8 + x * 8) = -4(x + 2) + 29 (-24 + 8x) = -4(x + 2) + 29 Reorder the terms: -24 + 8x = -4(2 + x) + 29 -24 + 8x = (2 * -4 + x * -4) + 29 -24 + 8x = (-8 + -4x) + 29 Reorder the terms: -24 + 8x = -8 + 29 + -4x Combine like terms: -8 + 29 = 21 -24 + 8x = 21 + -4x Solving -24 + 8x = 21 + -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. -24 + 8x + 4x = 21 + -4x + 4x Combine like terms: 8x + 4x = 12x -24 + 12x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 12x = 21 + 0 -24 + 12x = 21 Add '24' to each side of the equation. -24 + 24 + 12x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 21 + 24 12x = 21 + 24 Combine like terms: 21 + 24 = 45 12x = 45 Divide each side by '12'. x = 3.75 Simplifying x = 3.75
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