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Simplifying 2(3x + 10) = 5(x + -2) + 3 Reorder the terms: 2(10 + 3x) = 5(x + -2) + 3 (10 * 2 + 3x * 2) = 5(x + -2) + 3 (20 + 6x) = 5(x + -2) + 3 Reorder the terms: 20 + 6x = 5(-2 + x) + 3 20 + 6x = (-2 * 5 + x * 5) + 3 20 + 6x = (-10 + 5x) + 3 Reorder the terms: 20 + 6x = -10 + 3 + 5x Combine like terms: -10 + 3 = -7 20 + 6x = -7 + 5x Solving 20 + 6x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x 20 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 1x = -7 + 0 20 + 1x = -7 Add '-20' to each side of the equation. 20 + -20 + 1x = -7 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -7 + -20 1x = -7 + -20 Combine like terms: -7 + -20 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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