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Simplifying -2(x + 3) + 4x = 23 + 9(x + -6) + -8x Reorder the terms: -2(3 + x) + 4x = 23 + 9(x + -6) + -8x (3 * -2 + x * -2) + 4x = 23 + 9(x + -6) + -8x (-6 + -2x) + 4x = 23 + 9(x + -6) + -8x Combine like terms: -2x + 4x = 2x -6 + 2x = 23 + 9(x + -6) + -8x Reorder the terms: -6 + 2x = 23 + 9(-6 + x) + -8x -6 + 2x = 23 + (-6 * 9 + x * 9) + -8x -6 + 2x = 23 + (-54 + 9x) + -8x Combine like terms: 23 + -54 = -31 -6 + 2x = -31 + 9x + -8x Combine like terms: 9x + -8x = 1x -6 + 2x = -31 + 1x Solving -6 + 2x = -31 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 2x + -1x = -31 + 1x + -1x Combine like terms: 2x + -1x = 1x -6 + 1x = -31 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 1x = -31 + 0 -6 + 1x = -31 Add '6' to each side of the equation. -6 + 6 + 1x = -31 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -31 + 6 1x = -31 + 6 Combine like terms: -31 + 6 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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