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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 '30' to each side of the equation. -30 + 30 + -3x = 15 + 30 + 2X Combine like terms: -30 + 30 = 0 0 + -3x = 15 + 30 + 2X -3x = 15 + 30 + 2X Combine like terms: 15 + 30 = 45 -3x = 45 + 2X Divide each side by '-3'. x = -15 + -0.6666666667X Simplifying x = -15 + -0.6666666667X
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