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Simplifying 3x + -4 + -5x = 7(x + -7) Reorder the terms: -4 + 3x + -5x = 7(x + -7) Combine like terms: 3x + -5x = -2x -4 + -2x = 7(x + -7) Reorder the terms: -4 + -2x = 7(-7 + x) -4 + -2x = (-7 * 7 + x * 7) -4 + -2x = (-49 + 7x) Solving -4 + -2x = -49 + 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. -4 + -2x + -7x = -49 + 7x + -7x Combine like terms: -2x + -7x = -9x -4 + -9x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -9x = -49 + 0 -4 + -9x = -49 Add '4' to each side of the equation. -4 + 4 + -9x = -49 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -49 + 4 -9x = -49 + 4 Combine like terms: -49 + 4 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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