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Simplifying 9(x + -4) + -7x = 32 + -2(x + 8) Reorder the terms: 9(-4 + x) + -7x = 32 + -2(x + 8) (-4 * 9 + x * 9) + -7x = 32 + -2(x + 8) (-36 + 9x) + -7x = 32 + -2(x + 8) Combine like terms: 9x + -7x = 2x -36 + 2x = 32 + -2(x + 8) Reorder the terms: -36 + 2x = 32 + -2(8 + x) -36 + 2x = 32 + (8 * -2 + x * -2) -36 + 2x = 32 + (-16 + -2x) Combine like terms: 32 + -16 = 16 -36 + 2x = 16 + -2x Solving -36 + 2x = 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. -36 + 2x + 2x = 16 + -2x + 2x Combine like terms: 2x + 2x = 4x -36 + 4x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 4x = 16 + 0 -36 + 4x = 16 Add '36' to each side of the equation. -36 + 36 + 4x = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = 16 + 36 4x = 16 + 36 Combine like terms: 16 + 36 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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