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Simplifying -5x + -2x = 6(-3x + -1) + -3(1 + -4x) Combine like terms: -5x + -2x = -7x -7x = 6(-3x + -1) + -3(1 + -4x) Reorder the terms: -7x = 6(-1 + -3x) + -3(1 + -4x) -7x = (-1 * 6 + -3x * 6) + -3(1 + -4x) -7x = (-6 + -18x) + -3(1 + -4x) -7x = -6 + -18x + (1 * -3 + -4x * -3) -7x = -6 + -18x + (-3 + 12x) Reorder the terms: -7x = -6 + -3 + -18x + 12x Combine like terms: -6 + -3 = -9 -7x = -9 + -18x + 12x Combine like terms: -18x + 12x = -6x -7x = -9 + -6x Solving -7x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7x + 6x = -9 + -6x + 6x Combine like terms: -7x + 6x = -1x -1x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 -1x = -9 + 0 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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