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Simplifying -2(x + 2) + -1(4x + -3) = -7x Reorder the terms: -2(2 + x) + -1(4x + -3) = -7x (2 * -2 + x * -2) + -1(4x + -3) = -7x (-4 + -2x) + -1(4x + -3) = -7x Reorder the terms: -4 + -2x + -1(-3 + 4x) = -7x -4 + -2x + (-3 * -1 + 4x * -1) = -7x -4 + -2x + (3 + -4x) = -7x Reorder the terms: -4 + 3 + -2x + -4x = -7x Combine like terms: -4 + 3 = -1 -1 + -2x + -4x = -7x Combine like terms: -2x + -4x = -6x -1 + -6x = -7x Solving -1 + -6x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1 + -6x + 7x = -7x + 7x Combine like terms: -6x + 7x = 1x -1 + 1x = -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 1x = 0 Add '1' to each side of the equation. -1 + 1 + 1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 0 + 1 1x = 0 + 1 Combine like terms: 0 + 1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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