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Simplifying 8x + 10 + -2x + 36 = 4x + 15 + 8x + -28 Reorder the terms: 10 + 36 + 8x + -2x = 4x + 15 + 8x + -28 Combine like terms: 10 + 36 = 46 46 + 8x + -2x = 4x + 15 + 8x + -28 Combine like terms: 8x + -2x = 6x 46 + 6x = 4x + 15 + 8x + -28 Reorder the terms: 46 + 6x = 15 + -28 + 4x + 8x Combine like terms: 15 + -28 = -13 46 + 6x = -13 + 4x + 8x Combine like terms: 4x + 8x = 12x 46 + 6x = -13 + 12x Solving 46 + 6x = -13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 46 + 6x + -12x = -13 + 12x + -12x Combine like terms: 6x + -12x = -6x 46 + -6x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -6x = -13 + 0 46 + -6x = -13 Add '-46' to each side of the equation. 46 + -46 + -6x = -13 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = -13 + -46 -6x = -13 + -46 Combine like terms: -13 + -46 = -59 -6x = -59 Divide each side by '-6'. x = 9.833333333 Simplifying x = 9.833333333
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