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Simplifying 7x + -10(5 + 3x) = 2x 7x + (5 * -10 + 3x * -10) = 2x 7x + (-50 + -30x) = 2x Reorder the terms: -50 + 7x + -30x = 2x Combine like terms: 7x + -30x = -23x -50 + -23x = 2x Solving -50 + -23x = 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. -50 + -23x + -2x = 2x + -2x Combine like terms: -23x + -2x = -25x -50 + -25x = 2x + -2x Combine like terms: 2x + -2x = 0 -50 + -25x = 0 Add '50' to each side of the equation. -50 + 50 + -25x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -25x = 0 + 50 -25x = 0 + 50 Combine like terms: 0 + 50 = 50 -25x = 50 Divide each side by '-25'. x = -2 Simplifying x = -2
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