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Simplifying -8(x + -5) + 4 = 2x + 24 Reorder the terms: -8(-5 + x) + 4 = 2x + 24 (-5 * -8 + x * -8) + 4 = 2x + 24 (40 + -8x) + 4 = 2x + 24 Reorder the terms: 40 + 4 + -8x = 2x + 24 Combine like terms: 40 + 4 = 44 44 + -8x = 2x + 24 Reorder the terms: 44 + -8x = 24 + 2x Solving 44 + -8x = 24 + 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. 44 + -8x + -2x = 24 + 2x + -2x Combine like terms: -8x + -2x = -10x 44 + -10x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 44 + -10x = 24 + 0 44 + -10x = 24 Add '-44' to each side of the equation. 44 + -44 + -10x = 24 + -44 Combine like terms: 44 + -44 = 0 0 + -10x = 24 + -44 -10x = 24 + -44 Combine like terms: 24 + -44 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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