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Simplifying 4(2x + -6) + -8 = 3(x + 9) + -5 Reorder the terms: 4(-6 + 2x) + -8 = 3(x + 9) + -5 (-6 * 4 + 2x * 4) + -8 = 3(x + 9) + -5 (-24 + 8x) + -8 = 3(x + 9) + -5 Reorder the terms: -24 + -8 + 8x = 3(x + 9) + -5 Combine like terms: -24 + -8 = -32 -32 + 8x = 3(x + 9) + -5 Reorder the terms: -32 + 8x = 3(9 + x) + -5 -32 + 8x = (9 * 3 + x * 3) + -5 -32 + 8x = (27 + 3x) + -5 Reorder the terms: -32 + 8x = 27 + -5 + 3x Combine like terms: 27 + -5 = 22 -32 + 8x = 22 + 3x Solving -32 + 8x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + 8x + -3x = 22 + 3x + -3x Combine like terms: 8x + -3x = 5x -32 + 5x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 5x = 22 + 0 -32 + 5x = 22 Add '32' to each side of the equation. -32 + 32 + 5x = 22 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 22 + 32 5x = 22 + 32 Combine like terms: 22 + 32 = 54 5x = 54 Divide each side by '5'. x = 10.8 Simplifying x = 10.8
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