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Simplifying 3(5x + 4) + -36 = 8x + -3 Reorder the terms: 3(4 + 5x) + -36 = 8x + -3 (4 * 3 + 5x * 3) + -36 = 8x + -3 (12 + 15x) + -36 = 8x + -3 Reorder the terms: 12 + -36 + 15x = 8x + -3 Combine like terms: 12 + -36 = -24 -24 + 15x = 8x + -3 Reorder the terms: -24 + 15x = -3 + 8x Solving -24 + 15x = -3 + 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. -24 + 15x + -8x = -3 + 8x + -8x Combine like terms: 15x + -8x = 7x -24 + 7x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 7x = -3 + 0 -24 + 7x = -3 Add '24' to each side of the equation. -24 + 24 + 7x = -3 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = -3 + 24 7x = -3 + 24 Combine like terms: -3 + 24 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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