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Simplifying -2 + 4(2x + -8) = -3(x + 2) + 2x + -1 Reorder the terms: -2 + 4(-8 + 2x) = -3(x + 2) + 2x + -1 -2 + (-8 * 4 + 2x * 4) = -3(x + 2) + 2x + -1 -2 + (-32 + 8x) = -3(x + 2) + 2x + -1 Combine like terms: -2 + -32 = -34 -34 + 8x = -3(x + 2) + 2x + -1 Reorder the terms: -34 + 8x = -3(2 + x) + 2x + -1 -34 + 8x = (2 * -3 + x * -3) + 2x + -1 -34 + 8x = (-6 + -3x) + 2x + -1 Reorder the terms: -34 + 8x = -6 + -1 + -3x + 2x Combine like terms: -6 + -1 = -7 -34 + 8x = -7 + -3x + 2x Combine like terms: -3x + 2x = -1x -34 + 8x = -7 + -1x Solving -34 + 8x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -34 + 8x + x = -7 + -1x + x Combine like terms: 8x + x = 9x -34 + 9x = -7 + -1x + x Combine like terms: -1x + x = 0 -34 + 9x = -7 + 0 -34 + 9x = -7 Add '34' to each side of the equation. -34 + 34 + 9x = -7 + 34 Combine like terms: -34 + 34 = 0 0 + 9x = -7 + 34 9x = -7 + 34 Combine like terms: -7 + 34 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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