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Simplifying 2[5x + -3 + 2(x + -1)] = -3x + -5 Reorder the terms: 2[5x + -3 + 2(-1 + x)] = -3x + -5 2[5x + -3 + (-1 * 2 + x * 2)] = -3x + -5 2[5x + -3 + (-2 + 2x)] = -3x + -5 Reorder the terms: 2[-3 + -2 + 5x + 2x] = -3x + -5 Combine like terms: -3 + -2 = -5 2[-5 + 5x + 2x] = -3x + -5 Combine like terms: 5x + 2x = 7x 2[-5 + 7x] = -3x + -5 [-5 * 2 + 7x * 2] = -3x + -5 [-10 + 14x] = -3x + -5 Reorder the terms: -10 + 14x = -5 + -3x Solving -10 + 14x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 14x + 3x = -5 + -3x + 3x Combine like terms: 14x + 3x = 17x -10 + 17x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 17x = -5 + 0 -10 + 17x = -5 Add '10' to each side of the equation. -10 + 10 + 17x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = -5 + 10 17x = -5 + 10 Combine like terms: -5 + 10 = 5 17x = 5 Divide each side by '17'. x = 0.2941176471 Simplifying x = 0.2941176471
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