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Simplifying 3[x + -2(x + 5)] = 2 + -1(x + 5) + 5 Reorder the terms: 3[x + -2(5 + x)] = 2 + -1(x + 5) + 5 3[x + (5 * -2 + x * -2)] = 2 + -1(x + 5) + 5 3[x + (-10 + -2x)] = 2 + -1(x + 5) + 5 Reorder the terms: 3[-10 + x + -2x] = 2 + -1(x + 5) + 5 Combine like terms: x + -2x = -1x 3[-10 + -1x] = 2 + -1(x + 5) + 5 [-10 * 3 + -1x * 3] = 2 + -1(x + 5) + 5 [-30 + -3x] = 2 + -1(x + 5) + 5 Reorder the terms: -30 + -3x = 2 + -1(5 + x) + 5 -30 + -3x = 2 + (5 * -1 + x * -1) + 5 -30 + -3x = 2 + (-5 + -1x) + 5 Reorder the terms: -30 + -3x = 2 + -5 + 5 + -1x Combine like terms: 2 + -5 = -3 -30 + -3x = -3 + 5 + -1x Combine like terms: -3 + 5 = 2 -30 + -3x = 2 + -1x Solving -30 + -3x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -30 + -3x + x = 2 + -1x + x Combine like terms: -3x + x = -2x -30 + -2x = 2 + -1x + x Combine like terms: -1x + x = 0 -30 + -2x = 2 + 0 -30 + -2x = 2 Add '30' to each side of the equation. -30 + 30 + -2x = 2 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = 2 + 30 -2x = 2 + 30 Combine like terms: 2 + 30 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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