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Simplifying 2x + 3(x + -2) = 10x + -12 + x Reorder the terms: 2x + 3(-2 + x) = 10x + -12 + x 2x + (-2 * 3 + x * 3) = 10x + -12 + x 2x + (-6 + 3x) = 10x + -12 + x Reorder the terms: -6 + 2x + 3x = 10x + -12 + x Combine like terms: 2x + 3x = 5x -6 + 5x = 10x + -12 + x Reorder the terms: -6 + 5x = -12 + 10x + x Combine like terms: 10x + x = 11x -6 + 5x = -12 + 11x Solving -6 + 5x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -6 + 5x + -11x = -12 + 11x + -11x Combine like terms: 5x + -11x = -6x -6 + -6x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + -6x = -12 + 0 -6 + -6x = -12 Add '6' to each side of the equation. -6 + 6 + -6x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -12 + 6 -6x = -12 + 6 Combine like terms: -12 + 6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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