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Simplifying 5(4x + 3) = 8(x + -6) + 3 Reorder the terms: 5(3 + 4x) = 8(x + -6) + 3 (3 * 5 + 4x * 5) = 8(x + -6) + 3 (15 + 20x) = 8(x + -6) + 3 Reorder the terms: 15 + 20x = 8(-6 + x) + 3 15 + 20x = (-6 * 8 + x * 8) + 3 15 + 20x = (-48 + 8x) + 3 Reorder the terms: 15 + 20x = -48 + 3 + 8x Combine like terms: -48 + 3 = -45 15 + 20x = -45 + 8x Solving 15 + 20x = -45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 20x + -8x = -45 + 8x + -8x Combine like terms: 20x + -8x = 12x 15 + 12x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 12x = -45 + 0 15 + 12x = -45 Add '-15' to each side of the equation. 15 + -15 + 12x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = -45 + -15 12x = -45 + -15 Combine like terms: -45 + -15 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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