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Simplifying x + -2(x + 3) = 3x + 10 Reorder the terms: x + -2(3 + x) = 3x + 10 x + (3 * -2 + x * -2) = 3x + 10 x + (-6 + -2x) = 3x + 10 Reorder the terms: -6 + x + -2x = 3x + 10 Combine like terms: x + -2x = -1x -6 + -1x = 3x + 10 Reorder the terms: -6 + -1x = 10 + 3x Solving -6 + -1x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -1x + -3x = 10 + 3x + -3x Combine like terms: -1x + -3x = -4x -6 + -4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -4x = 10 + 0 -6 + -4x = 10 Add '6' to each side of the equation. -6 + 6 + -4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 10 + 6 -4x = 10 + 6 Combine like terms: 10 + 6 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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