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Simplifying 6x + 8 = -7x + 8(-2x + 1) Reorder the terms: 8 + 6x = -7x + 8(-2x + 1) Reorder the terms: 8 + 6x = -7x + 8(1 + -2x) 8 + 6x = -7x + (1 * 8 + -2x * 8) 8 + 6x = -7x + (8 + -16x) Reorder the terms: 8 + 6x = 8 + -7x + -16x Combine like terms: -7x + -16x = -23x 8 + 6x = 8 + -23x Add '-8' to each side of the equation. 8 + -8 + 6x = 8 + -8 + -23x Combine like terms: 8 + -8 = 0 0 + 6x = 8 + -8 + -23x 6x = 8 + -8 + -23x Combine like terms: 8 + -8 = 0 6x = 0 + -23x 6x = -23x Solving 6x = -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 6x + 23x = -23x + 23x Combine like terms: 6x + 23x = 29x 29x = -23x + 23x Combine like terms: -23x + 23x = 0 29x = 0 Divide each side by '29'. x = 0 Simplifying x = 0
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