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Simplifying 2(x + 10) = 2(3x + -8) Reorder the terms: 2(10 + x) = 2(3x + -8) (10 * 2 + x * 2) = 2(3x + -8) (20 + 2x) = 2(3x + -8) Reorder the terms: 20 + 2x = 2(-8 + 3x) 20 + 2x = (-8 * 2 + 3x * 2) 20 + 2x = (-16 + 6x) Solving 20 + 2x = -16 + 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. 20 + 2x + -6x = -16 + 6x + -6x Combine like terms: 2x + -6x = -4x 20 + -4x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -4x = -16 + 0 20 + -4x = -16 Add '-20' to each side of the equation. 20 + -20 + -4x = -16 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -16 + -20 -4x = -16 + -20 Combine like terms: -16 + -20 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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