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Simplifying 8x + 10 + -2x = 8x + -1(x + -23) Reorder the terms: 10 + 8x + -2x = 8x + -1(x + -23) Combine like terms: 8x + -2x = 6x 10 + 6x = 8x + -1(x + -23) Reorder the terms: 10 + 6x = 8x + -1(-23 + x) 10 + 6x = 8x + (-23 * -1 + x * -1) 10 + 6x = 8x + (23 + -1x) Reorder the terms: 10 + 6x = 23 + 8x + -1x Combine like terms: 8x + -1x = 7x 10 + 6x = 23 + 7x Solving 10 + 6x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 6x + -7x = 23 + 7x + -7x Combine like terms: 6x + -7x = -1x 10 + -1x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -1x = 23 + 0 10 + -1x = 23 Add '-10' to each side of the equation. 10 + -10 + -1x = 23 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 23 + -10 -1x = 23 + -10 Combine like terms: 23 + -10 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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