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Simplifying 7(2 + 3x) + -3(5x + -4) = 23 (2 * 7 + 3x * 7) + -3(5x + -4) = 23 (14 + 21x) + -3(5x + -4) = 23 Reorder the terms: 14 + 21x + -3(-4 + 5x) = 23 14 + 21x + (-4 * -3 + 5x * -3) = 23 14 + 21x + (12 + -15x) = 23 Reorder the terms: 14 + 12 + 21x + -15x = 23 Combine like terms: 14 + 12 = 26 26 + 21x + -15x = 23 Combine like terms: 21x + -15x = 6x 26 + 6x = 23 Solving 26 + 6x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6x = 23 + -26 Combine like terms: 26 + -26 = 0 0 + 6x = 23 + -26 6x = 23 + -26 Combine like terms: 23 + -26 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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