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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 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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