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Simplifying -1x + -2(2x + 1) = 3(-1x) + (-10) Reorder the terms: -1x + -2(1 + 2x) = 3(-1x) + (-10) -1x + (1 * -2 + 2x * -2) = 3(-1x) + (-10) -1x + (-2 + -4x) = 3(-1x) + (-10) Reorder the terms: -2 + -1x + -4x = 3(-1x) + (-10) Combine like terms: -1x + -4x = -5x -2 + -5x = 3(-1x) + (-10) Remove parenthesis around (-1x) -2 + -5x = 3 * -1x + (-10) Multiply 3 * -1 -2 + -5x = -3x + (-10) -2 + -5x = -3x + -10 Reorder the terms: -2 + -5x = -10 + -3x Solving -2 + -5x = -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. -2 + -5x + 3x = -10 + -3x + 3x Combine like terms: -5x + 3x = -2x -2 + -2x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -2x = -10 + 0 -2 + -2x = -10 Add '2' to each side of the equation. -2 + 2 + -2x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -10 + 2 -2x = -10 + 2 Combine like terms: -10 + 2 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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