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Simplifying 3[2x + -5(x + 1)] = 5x + -1 Reorder the terms: 3[2x + -5(1 + x)] = 5x + -1 3[2x + (1 * -5 + x * -5)] = 5x + -1 3[2x + (-5 + -5x)] = 5x + -1 Reorder the terms: 3[-5 + 2x + -5x] = 5x + -1 Combine like terms: 2x + -5x = -3x 3[-5 + -3x] = 5x + -1 [-5 * 3 + -3x * 3] = 5x + -1 [-15 + -9x] = 5x + -1 Reorder the terms: -15 + -9x = -1 + 5x Solving -15 + -9x = -1 + 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. -15 + -9x + -5x = -1 + 5x + -5x Combine like terms: -9x + -5x = -14x -15 + -14x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -14x = -1 + 0 -15 + -14x = -1 Add '15' to each side of the equation. -15 + 15 + -14x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -14x = -1 + 15 -14x = -1 + 15 Combine like terms: -1 + 15 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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