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Simplifying 3[-3x + -2 + -2(x + 1)] = 7x + 1 Reorder the terms: 3[-3x + -2 + -2(1 + x)] = 7x + 1 3[-3x + -2 + (1 * -2 + x * -2)] = 7x + 1 3[-3x + -2 + (-2 + -2x)] = 7x + 1 Reorder the terms: 3[-2 + -2 + -3x + -2x] = 7x + 1 Combine like terms: -2 + -2 = -4 3[-4 + -3x + -2x] = 7x + 1 Combine like terms: -3x + -2x = -5x 3[-4 + -5x] = 7x + 1 [-4 * 3 + -5x * 3] = 7x + 1 [-12 + -15x] = 7x + 1 Reorder the terms: -12 + -15x = 1 + 7x Solving -12 + -15x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + -15x + -7x = 1 + 7x + -7x Combine like terms: -15x + -7x = -22x -12 + -22x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -22x = 1 + 0 -12 + -22x = 1 Add '12' to each side of the equation. -12 + 12 + -22x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -22x = 1 + 12 -22x = 1 + 12 Combine like terms: 1 + 12 = 13 -22x = 13 Divide each side by '-22'. x = -0.5909090909 Simplifying x = -0.5909090909
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