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Simplifying 8 + -3x + 7x = -2(-3x + 1) Combine like terms: -3x + 7x = 4x 8 + 4x = -2(-3x + 1) Reorder the terms: 8 + 4x = -2(1 + -3x) 8 + 4x = (1 * -2 + -3x * -2) 8 + 4x = (-2 + 6x) Solving 8 + 4x = -2 + 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. 8 + 4x + -6x = -2 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -2 + 0 8 + -2x = -2 Add '-8' to each side of the equation. 8 + -8 + -2x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -2 + -8 -2x = -2 + -8 Combine like terms: -2 + -8 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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