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Simplifying -2[7x + 3 + -3(x + 1)] = -6x + -7 Reorder the terms: -2[7x + 3 + -3(1 + x)] = -6x + -7 -2[7x + 3 + (1 * -3 + x * -3)] = -6x + -7 -2[7x + 3 + (-3 + -3x)] = -6x + -7 Reorder the terms: -2[3 + -3 + 7x + -3x] = -6x + -7 Combine like terms: 3 + -3 = 0 -2[0 + 7x + -3x] = -6x + -7 -2[7x + -3x] = -6x + -7 Combine like terms: 7x + -3x = 4x -2[4x] = -6x + -7 Remove brackets around [4x] -2 * 4x = -6x + -7 Multiply -2 * 4 -8x = -6x + -7 Reorder the terms: -8x = -7 + -6x Solving -8x = -7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8x + 6x = -7 + -6x + 6x Combine like terms: -8x + 6x = -2x -2x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -2x = -7 + 0 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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