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