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Simplifying 10 + -2(x + 3) = 2(3x + -20) Reorder the terms: 10 + -2(3 + x) = 2(3x + -20) 10 + (3 * -2 + x * -2) = 2(3x + -20) 10 + (-6 + -2x) = 2(3x + -20) Combine like terms: 10 + -6 = 4 4 + -2x = 2(3x + -20) Reorder the terms: 4 + -2x = 2(-20 + 3x) 4 + -2x = (-20 * 2 + 3x * 2) 4 + -2x = (-40 + 6x) Solving 4 + -2x = -40 + 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. 4 + -2x + -6x = -40 + 6x + -6x Combine like terms: -2x + -6x = -8x 4 + -8x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x = -40 + 0 4 + -8x = -40 Add '-4' to each side of the equation. 4 + -4 + -8x = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -40 + -4 -8x = -40 + -4 Combine like terms: -40 + -4 = -44 -8x = -44 Divide each side by '-8'. x = 5.5 Simplifying x = 5.5
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