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