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Simplifying -1(2x + -1) + -1(4x + 4) = -10 + -1(2x + 5) Reorder the terms: -1(-1 + 2x) + -1(4x + 4) = -10 + -1(2x + 5) (-1 * -1 + 2x * -1) + -1(4x + 4) = -10 + -1(2x + 5) (1 + -2x) + -1(4x + 4) = -10 + -1(2x + 5) Reorder the terms: 1 + -2x + -1(4 + 4x) = -10 + -1(2x + 5) 1 + -2x + (4 * -1 + 4x * -1) = -10 + -1(2x + 5) 1 + -2x + (-4 + -4x) = -10 + -1(2x + 5) Reorder the terms: 1 + -4 + -2x + -4x = -10 + -1(2x + 5) Combine like terms: 1 + -4 = -3 -3 + -2x + -4x = -10 + -1(2x + 5) Combine like terms: -2x + -4x = -6x -3 + -6x = -10 + -1(2x + 5) Reorder the terms: -3 + -6x = -10 + -1(5 + 2x) -3 + -6x = -10 + (5 * -1 + 2x * -1) -3 + -6x = -10 + (-5 + -2x) Combine like terms: -10 + -5 = -15 -3 + -6x = -15 + -2x Solving -3 + -6x = -15 + -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. -3 + -6x + 2x = -15 + -2x + 2x Combine like terms: -6x + 2x = -4x -3 + -4x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -4x = -15 + 0 -3 + -4x = -15 Add '3' to each side of the equation. -3 + 3 + -4x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -15 + 3 -4x = -15 + 3 Combine like terms: -15 + 3 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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