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Simplifying 5x + -24 + 3x + 36 = 35 + 6x + -2 Reorder the terms: -24 + 36 + 5x + 3x = 35 + 6x + -2 Combine like terms: -24 + 36 = 12 12 + 5x + 3x = 35 + 6x + -2 Combine like terms: 5x + 3x = 8x 12 + 8x = 35 + 6x + -2 Reorder the terms: 12 + 8x = 35 + -2 + 6x Combine like terms: 35 + -2 = 33 12 + 8x = 33 + 6x Solving 12 + 8x = 33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 8x + -6x = 33 + 6x + -6x Combine like terms: 8x + -6x = 2x 12 + 2x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 2x = 33 + 0 12 + 2x = 33 Add '-12' to each side of the equation. 12 + -12 + 2x = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 33 + -12 2x = 33 + -12 Combine like terms: 33 + -12 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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