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Simplifying -5x + x = -6(5x + -2) + -7(x + -3) Combine like terms: -5x + x = -4x -4x = -6(5x + -2) + -7(x + -3) Reorder the terms: -4x = -6(-2 + 5x) + -7(x + -3) -4x = (-2 * -6 + 5x * -6) + -7(x + -3) -4x = (12 + -30x) + -7(x + -3) Reorder the terms: -4x = 12 + -30x + -7(-3 + x) -4x = 12 + -30x + (-3 * -7 + x * -7) -4x = 12 + -30x + (21 + -7x) Reorder the terms: -4x = 12 + 21 + -30x + -7x Combine like terms: 12 + 21 = 33 -4x = 33 + -30x + -7x Combine like terms: -30x + -7x = -37x -4x = 33 + -37x Solving -4x = 33 + -37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37x' to each side of the equation. -4x + 37x = 33 + -37x + 37x Combine like terms: -4x + 37x = 33x 33x = 33 + -37x + 37x Combine like terms: -37x + 37x = 0 33x = 33 + 0 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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