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Simplifying 3(4x + 5) = -7x + -23 Reorder the terms: 3(5 + 4x) = -7x + -23 (5 * 3 + 4x * 3) = -7x + -23 (15 + 12x) = -7x + -23 Reorder the terms: 15 + 12x = -23 + -7x Solving 15 + 12x = -23 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + 12x + 7x = -23 + -7x + 7x Combine like terms: 12x + 7x = 19x 15 + 19x = -23 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 19x = -23 + 0 15 + 19x = -23 Add '-15' to each side of the equation. 15 + -15 + 19x = -23 + -15 Combine like terms: 15 + -15 = 0 0 + 19x = -23 + -15 19x = -23 + -15 Combine like terms: -23 + -15 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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