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Simplifying 2 + 3[1 + -2(x + 3)] = -7(x + 1) Reorder the terms: 2 + 3[1 + -2(3 + x)] = -7(x + 1) 2 + 3[1 + (3 * -2 + x * -2)] = -7(x + 1) 2 + 3[1 + (-6 + -2x)] = -7(x + 1) Combine like terms: 1 + -6 = -5 2 + 3[-5 + -2x] = -7(x + 1) 2 + [-5 * 3 + -2x * 3] = -7(x + 1) 2 + [-15 + -6x] = -7(x + 1) Combine like terms: 2 + -15 = -13 -13 + -6x = -7(x + 1) Reorder the terms: -13 + -6x = -7(1 + x) -13 + -6x = (1 * -7 + x * -7) -13 + -6x = (-7 + -7x) Solving -13 + -6x = -7 + -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. -13 + -6x + 7x = -7 + -7x + 7x Combine like terms: -6x + 7x = 1x -13 + 1x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 1x = -7 + 0 -13 + 1x = -7 Add '13' to each side of the equation. -13 + 13 + 1x = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -7 + 13 1x = -7 + 13 Combine like terms: -7 + 13 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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