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Simplifying 4x + 3x + -7 = 5x + -1(35 + -6x) Reorder the terms: -7 + 4x + 3x = 5x + -1(35 + -6x) Combine like terms: 4x + 3x = 7x -7 + 7x = 5x + -1(35 + -6x) -7 + 7x = 5x + (35 * -1 + -6x * -1) -7 + 7x = 5x + (-35 + 6x) Reorder the terms: -7 + 7x = -35 + 5x + 6x Combine like terms: 5x + 6x = 11x -7 + 7x = -35 + 11x Solving -7 + 7x = -35 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -7 + 7x + -11x = -35 + 11x + -11x Combine like terms: 7x + -11x = -4x -7 + -4x = -35 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + -4x = -35 + 0 -7 + -4x = -35 Add '7' to each side of the equation. -7 + 7 + -4x = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -35 + 7 -4x = -35 + 7 Combine like terms: -35 + 7 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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