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Simplifying 8 + -4x + 8x = -2(-7x + 1) Combine like terms: -4x + 8x = 4x 8 + 4x = -2(-7x + 1) Reorder the terms: 8 + 4x = -2(1 + -7x) 8 + 4x = (1 * -2 + -7x * -2) 8 + 4x = (-2 + 14x) Solving 8 + 4x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 4x + -14x = -2 + 14x + -14x Combine like terms: 4x + -14x = -10x 8 + -10x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -10x = -2 + 0 8 + -10x = -2 Add '-8' to each side of the equation. 8 + -8 + -10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -2 + -8 -10x = -2 + -8 Combine like terms: -2 + -8 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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