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Simplifying 2(5x + 3) = 7(x + -2) + 5 Reorder the terms: 2(3 + 5x) = 7(x + -2) + 5 (3 * 2 + 5x * 2) = 7(x + -2) + 5 (6 + 10x) = 7(x + -2) + 5 Reorder the terms: 6 + 10x = 7(-2 + x) + 5 6 + 10x = (-2 * 7 + x * 7) + 5 6 + 10x = (-14 + 7x) + 5 Reorder the terms: 6 + 10x = -14 + 5 + 7x Combine like terms: -14 + 5 = -9 6 + 10x = -9 + 7x Solving 6 + 10x = -9 + 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. 6 + 10x + -7x = -9 + 7x + -7x Combine like terms: 10x + -7x = 3x 6 + 3x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 3x = -9 + 0 6 + 3x = -9 Add '-6' to each side of the equation. 6 + -6 + 3x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -9 + -6 3x = -9 + -6 Combine like terms: -9 + -6 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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