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Simplifying 21 + -9 + 4x + -5x = 8x + -7x + 4 + 6 Combine like terms: 21 + -9 = 12 12 + 4x + -5x = 8x + -7x + 4 + 6 Combine like terms: 4x + -5x = -1x 12 + -1x = 8x + -7x + 4 + 6 Reorder the terms: 12 + -1x = 4 + 6 + 8x + -7x Combine like terms: 4 + 6 = 10 12 + -1x = 10 + 8x + -7x Combine like terms: 8x + -7x = 1x 12 + -1x = 10 + 1x Solving 12 + -1x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -1x + -1x = 10 + 1x + -1x Combine like terms: -1x + -1x = -2x 12 + -2x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -2x = 10 + 0 12 + -2x = 10 Add '-12' to each side of the equation. 12 + -12 + -2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 10 + -12 -2x = 10 + -12 Combine like terms: 10 + -12 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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