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Simplifying 8x + -3(x + -2) = 32 + 2x + 7 Reorder the terms: 8x + -3(-2 + x) = 32 + 2x + 7 8x + (-2 * -3 + x * -3) = 32 + 2x + 7 8x + (6 + -3x) = 32 + 2x + 7 Reorder the terms: 6 + 8x + -3x = 32 + 2x + 7 Combine like terms: 8x + -3x = 5x 6 + 5x = 32 + 2x + 7 Reorder the terms: 6 + 5x = 32 + 7 + 2x Combine like terms: 32 + 7 = 39 6 + 5x = 39 + 2x Solving 6 + 5x = 39 + 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. 6 + 5x + -2x = 39 + 2x + -2x Combine like terms: 5x + -2x = 3x 6 + 3x = 39 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 3x = 39 + 0 6 + 3x = 39 Add '-6' to each side of the equation. 6 + -6 + 3x = 39 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 39 + -6 3x = 39 + -6 Combine like terms: 39 + -6 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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