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Simplifying 4x + 5(3x + -7) = -11 + -5x Reorder the terms: 4x + 5(-7 + 3x) = -11 + -5x 4x + (-7 * 5 + 3x * 5) = -11 + -5x 4x + (-35 + 15x) = -11 + -5x Reorder the terms: -35 + 4x + 15x = -11 + -5x Combine like terms: 4x + 15x = 19x -35 + 19x = -11 + -5x Solving -35 + 19x = -11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -35 + 19x + 5x = -11 + -5x + 5x Combine like terms: 19x + 5x = 24x -35 + 24x = -11 + -5x + 5x Combine like terms: -5x + 5x = 0 -35 + 24x = -11 + 0 -35 + 24x = -11 Add '35' to each side of the equation. -35 + 35 + 24x = -11 + 35 Combine like terms: -35 + 35 = 0 0 + 24x = -11 + 35 24x = -11 + 35 Combine like terms: -11 + 35 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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