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Simplifying 16x + -9 + 23x + 11 = 32x + 5 + 8x + 4 Reorder the terms: -9 + 11 + 16x + 23x = 32x + 5 + 8x + 4 Combine like terms: -9 + 11 = 2 2 + 16x + 23x = 32x + 5 + 8x + 4 Combine like terms: 16x + 23x = 39x 2 + 39x = 32x + 5 + 8x + 4 Reorder the terms: 2 + 39x = 5 + 4 + 32x + 8x Combine like terms: 5 + 4 = 9 2 + 39x = 9 + 32x + 8x Combine like terms: 32x + 8x = 40x 2 + 39x = 9 + 40x Solving 2 + 39x = 9 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 2 + 39x + -40x = 9 + 40x + -40x Combine like terms: 39x + -40x = -1x 2 + -1x = 9 + 40x + -40x Combine like terms: 40x + -40x = 0 2 + -1x = 9 + 0 2 + -1x = 9 Add '-2' to each side of the equation. 2 + -2 + -1x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 9 + -2 -1x = 9 + -2 Combine like terms: 9 + -2 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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