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Simplifying -4(4x + -1) + 9x = 2(x + 8) Reorder the terms: -4(-1 + 4x) + 9x = 2(x + 8) (-1 * -4 + 4x * -4) + 9x = 2(x + 8) (4 + -16x) + 9x = 2(x + 8) Combine like terms: -16x + 9x = -7x 4 + -7x = 2(x + 8) Reorder the terms: 4 + -7x = 2(8 + x) 4 + -7x = (8 * 2 + x * 2) 4 + -7x = (16 + 2x) Solving 4 + -7x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -7x + -2x = 16 + 2x + -2x Combine like terms: -7x + -2x = -9x 4 + -9x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -9x = 16 + 0 4 + -9x = 16 Add '-4' to each side of the equation. 4 + -4 + -9x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 16 + -4 -9x = 16 + -4 Combine like terms: 16 + -4 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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