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Simplifying 3(5x + -7) + -7(4x + 5) = x Reorder the terms: 3(-7 + 5x) + -7(4x + 5) = x (-7 * 3 + 5x * 3) + -7(4x + 5) = x (-21 + 15x) + -7(4x + 5) = x Reorder the terms: -21 + 15x + -7(5 + 4x) = x -21 + 15x + (5 * -7 + 4x * -7) = x -21 + 15x + (-35 + -28x) = x Reorder the terms: -21 + -35 + 15x + -28x = x Combine like terms: -21 + -35 = -56 -56 + 15x + -28x = x Combine like terms: 15x + -28x = -13x -56 + -13x = x Solving -56 + -13x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -56 + -13x + -1x = x + -1x Combine like terms: -13x + -1x = -14x -56 + -14x = x + -1x Combine like terms: x + -1x = 0 -56 + -14x = 0 Add '56' to each side of the equation. -56 + 56 + -14x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -14x = 0 + 56 -14x = 0 + 56 Combine like terms: 0 + 56 = 56 -14x = 56 Divide each side by '-14'. x = -4 Simplifying x = -4
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