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Simplifying -2(-4x + 2) + -3(3x + -1) = -7x Reorder the terms: -2(2 + -4x) + -3(3x + -1) = -7x (2 * -2 + -4x * -2) + -3(3x + -1) = -7x (-4 + 8x) + -3(3x + -1) = -7x Reorder the terms: -4 + 8x + -3(-1 + 3x) = -7x -4 + 8x + (-1 * -3 + 3x * -3) = -7x -4 + 8x + (3 + -9x) = -7x Reorder the terms: -4 + 3 + 8x + -9x = -7x Combine like terms: -4 + 3 = -1 -1 + 8x + -9x = -7x Combine like terms: 8x + -9x = -1x -1 + -1x = -7x Solving -1 + -1x = -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 + -1x + 7x = -7x + 7x Combine like terms: -1x + 7x = 6x -1 + 6x = -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 6x = 0 Add '1' to each side of the equation. -1 + 1 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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