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Simplifying 4(8x + -5) + -5(6x + 3) = -23 Reorder the terms: 4(-5 + 8x) + -5(6x + 3) = -23 (-5 * 4 + 8x * 4) + -5(6x + 3) = -23 (-20 + 32x) + -5(6x + 3) = -23 Reorder the terms: -20 + 32x + -5(3 + 6x) = -23 -20 + 32x + (3 * -5 + 6x * -5) = -23 -20 + 32x + (-15 + -30x) = -23 Reorder the terms: -20 + -15 + 32x + -30x = -23 Combine like terms: -20 + -15 = -35 -35 + 32x + -30x = -23 Combine like terms: 32x + -30x = 2x -35 + 2x = -23 Solving -35 + 2x = -23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 2x = -23 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -23 + 35 2x = -23 + 35 Combine like terms: -23 + 35 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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