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Simplifying 3[x + -2(x + 5)] = 2(x + 5) + 5 Reorder the terms: 3[x + -2(5 + x)] = 2(x + 5) + 5 3[x + (5 * -2 + x * -2)] = 2(x + 5) + 5 3[x + (-10 + -2x)] = 2(x + 5) + 5 Reorder the terms: 3[-10 + x + -2x] = 2(x + 5) + 5 Combine like terms: x + -2x = -1x 3[-10 + -1x] = 2(x + 5) + 5 [-10 * 3 + -1x * 3] = 2(x + 5) + 5 [-30 + -3x] = 2(x + 5) + 5 Reorder the terms: -30 + -3x = 2(5 + x) + 5 -30 + -3x = (5 * 2 + x * 2) + 5 -30 + -3x = (10 + 2x) + 5 Reorder the terms: -30 + -3x = 10 + 5 + 2x Combine like terms: 10 + 5 = 15 -30 + -3x = 15 + 2x Solving -30 + -3x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + -3x + -2x = 15 + 2x + -2x Combine like terms: -3x + -2x = -5x -30 + -5x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + -5x = 15 + 0 -30 + -5x = 15 Add '30' to each side of the equation. -30 + 30 + -5x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = 15 + 30 -5x = 15 + 30 Combine like terms: 15 + 30 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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