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Simplifying 2(x + -8) + x = 2(x + -6) + 2 Reorder the terms: 2(-8 + x) + x = 2(x + -6) + 2 (-8 * 2 + x * 2) + x = 2(x + -6) + 2 (-16 + 2x) + x = 2(x + -6) + 2 Combine like terms: 2x + x = 3x -16 + 3x = 2(x + -6) + 2 Reorder the terms: -16 + 3x = 2(-6 + x) + 2 -16 + 3x = (-6 * 2 + x * 2) + 2 -16 + 3x = (-12 + 2x) + 2 Reorder the terms: -16 + 3x = -12 + 2 + 2x Combine like terms: -12 + 2 = -10 -16 + 3x = -10 + 2x Solving -16 + 3x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + 3x + -2x = -10 + 2x + -2x Combine like terms: 3x + -2x = 1x -16 + 1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 1x = -10 + 0 -16 + 1x = -10 Add '16' to each side of the equation. -16 + 16 + 1x = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -10 + 16 1x = -10 + 16 Combine like terms: -10 + 16 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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