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Simplifying 4(2x + -8) + -3x = 6(3 + -1x) + 9 + 2x Reorder the terms: 4(-8 + 2x) + -3x = 6(3 + -1x) + 9 + 2x (-8 * 4 + 2x * 4) + -3x = 6(3 + -1x) + 9 + 2x (-32 + 8x) + -3x = 6(3 + -1x) + 9 + 2x Combine like terms: 8x + -3x = 5x -32 + 5x = 6(3 + -1x) + 9 + 2x -32 + 5x = (3 * 6 + -1x * 6) + 9 + 2x -32 + 5x = (18 + -6x) + 9 + 2x Reorder the terms: -32 + 5x = 18 + 9 + -6x + 2x Combine like terms: 18 + 9 = 27 -32 + 5x = 27 + -6x + 2x Combine like terms: -6x + 2x = -4x -32 + 5x = 27 + -4x Solving -32 + 5x = 27 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -32 + 5x + 4x = 27 + -4x + 4x Combine like terms: 5x + 4x = 9x -32 + 9x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 9x = 27 + 0 -32 + 9x = 27 Add '32' to each side of the equation. -32 + 32 + 9x = 27 + 32 Combine like terms: -32 + 32 = 0 0 + 9x = 27 + 32 9x = 27 + 32 Combine like terms: 27 + 32 = 59 9x = 59 Divide each side by '9'. x = 6.555555556 Simplifying x = 6.555555556
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