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Simplifying 2[3x + -7(x + -3)] = 2 Reorder the terms: 2[3x + -7(-3 + x)] = 2 2[3x + (-3 * -7 + x * -7)] = 2 2[3x + (21 + -7x)] = 2 Reorder the terms: 2[21 + 3x + -7x] = 2 Combine like terms: 3x + -7x = -4x 2[21 + -4x] = 2 [21 * 2 + -4x * 2] = 2 [42 + -8x] = 2 Solving 42 + -8x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -8x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 2 + -42 -8x = 2 + -42 Combine like terms: 2 + -42 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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