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Simplifying 9x + -3(2x + -4) = 32 + -1x Reorder the terms: 9x + -3(-4 + 2x) = 32 + -1x 9x + (-4 * -3 + 2x * -3) = 32 + -1x 9x + (12 + -6x) = 32 + -1x Reorder the terms: 12 + 9x + -6x = 32 + -1x Combine like terms: 9x + -6x = 3x 12 + 3x = 32 + -1x Solving 12 + 3x = 32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + 3x + x = 32 + -1x + x Combine like terms: 3x + x = 4x 12 + 4x = 32 + -1x + x Combine like terms: -1x + x = 0 12 + 4x = 32 + 0 12 + 4x = 32 Add '-12' to each side of the equation. 12 + -12 + 4x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 32 + -12 4x = 32 + -12 Combine like terms: 32 + -12 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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