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Simplifying 8(3x + 4) = 3(x + -5) + 5 Reorder the terms: 8(4 + 3x) = 3(x + -5) + 5 (4 * 8 + 3x * 8) = 3(x + -5) + 5 (32 + 24x) = 3(x + -5) + 5 Reorder the terms: 32 + 24x = 3(-5 + x) + 5 32 + 24x = (-5 * 3 + x * 3) + 5 32 + 24x = (-15 + 3x) + 5 Reorder the terms: 32 + 24x = -15 + 5 + 3x Combine like terms: -15 + 5 = -10 32 + 24x = -10 + 3x Solving 32 + 24x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + 24x + -3x = -10 + 3x + -3x Combine like terms: 24x + -3x = 21x 32 + 21x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 21x = -10 + 0 32 + 21x = -10 Add '-32' to each side of the equation. 32 + -32 + 21x = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 21x = -10 + -32 21x = -10 + -32 Combine like terms: -10 + -32 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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