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Simplifying 2x + -32 = 7(m + 3) + -5x + -9 Reorder the terms: -32 + 2x = 7(m + 3) + -5x + -9 Reorder the terms: -32 + 2x = 7(3 + m) + -5x + -9 -32 + 2x = (3 * 7 + m * 7) + -5x + -9 -32 + 2x = (21 + 7m) + -5x + -9 Reorder the terms: -32 + 2x = 21 + -9 + 7m + -5x Combine like terms: 21 + -9 = 12 -32 + 2x = 12 + 7m + -5x Solving -32 + 2x = 12 + 7m + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -32 + 2x + 5x = 12 + 7m + -5x + 5x Combine like terms: 2x + 5x = 7x -32 + 7x = 12 + 7m + -5x + 5x Combine like terms: -5x + 5x = 0 -32 + 7x = 12 + 7m + 0 -32 + 7x = 12 + 7m Add '32' to each side of the equation. -32 + 32 + 7x = 12 + 32 + 7m Combine like terms: -32 + 32 = 0 0 + 7x = 12 + 32 + 7m 7x = 12 + 32 + 7m Combine like terms: 12 + 32 = 44 7x = 44 + 7m Divide each side by '7'. x = 6.285714286 + m Simplifying x = 6.285714286 + m
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