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Simplifying 5x + 3(x + -11) = 7(2x + -5) + 2 Reorder the terms: 5x + 3(-11 + x) = 7(2x + -5) + 2 5x + (-11 * 3 + x * 3) = 7(2x + -5) + 2 5x + (-33 + 3x) = 7(2x + -5) + 2 Reorder the terms: -33 + 5x + 3x = 7(2x + -5) + 2 Combine like terms: 5x + 3x = 8x -33 + 8x = 7(2x + -5) + 2 Reorder the terms: -33 + 8x = 7(-5 + 2x) + 2 -33 + 8x = (-5 * 7 + 2x * 7) + 2 -33 + 8x = (-35 + 14x) + 2 Reorder the terms: -33 + 8x = -35 + 2 + 14x Combine like terms: -35 + 2 = -33 -33 + 8x = -33 + 14x Add '33' to each side of the equation. -33 + 33 + 8x = -33 + 33 + 14x Combine like terms: -33 + 33 = 0 0 + 8x = -33 + 33 + 14x 8x = -33 + 33 + 14x Combine like terms: -33 + 33 = 0 8x = 0 + 14x 8x = 14x Solving 8x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8x + -14x = 14x + -14x Combine like terms: 8x + -14x = -6x -6x = 14x + -14x Combine like terms: 14x + -14x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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