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Simplifying 5(-2x + -7) + 2 + -4x = 7(x + -3) + 9 Reorder the terms: 5(-7 + -2x) + 2 + -4x = 7(x + -3) + 9 (-7 * 5 + -2x * 5) + 2 + -4x = 7(x + -3) + 9 (-35 + -10x) + 2 + -4x = 7(x + -3) + 9 Reorder the terms: -35 + 2 + -10x + -4x = 7(x + -3) + 9 Combine like terms: -35 + 2 = -33 -33 + -10x + -4x = 7(x + -3) + 9 Combine like terms: -10x + -4x = -14x -33 + -14x = 7(x + -3) + 9 Reorder the terms: -33 + -14x = 7(-3 + x) + 9 -33 + -14x = (-3 * 7 + x * 7) + 9 -33 + -14x = (-21 + 7x) + 9 Reorder the terms: -33 + -14x = -21 + 9 + 7x Combine like terms: -21 + 9 = -12 -33 + -14x = -12 + 7x Solving -33 + -14x = -12 + 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. -33 + -14x + -7x = -12 + 7x + -7x Combine like terms: -14x + -7x = -21x -33 + -21x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + -21x = -12 + 0 -33 + -21x = -12 Add '33' to each side of the equation. -33 + 33 + -21x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -21x = -12 + 33 -21x = -12 + 33 Combine like terms: -12 + 33 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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