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Simplifying 10 + -2x = 8 + -2(20 + -2x) 10 + -2x = 8 + (20 * -2 + -2x * -2) 10 + -2x = 8 + (-40 + 4x) Combine like terms: 8 + -40 = -32 10 + -2x = -32 + 4x Solving 10 + -2x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -2x + -4x = -32 + 4x + -4x Combine like terms: -2x + -4x = -6x 10 + -6x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -6x = -32 + 0 10 + -6x = -32 Add '-10' to each side of the equation. 10 + -10 + -6x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -32 + -10 -6x = -32 + -10 Combine like terms: -32 + -10 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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