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Simplifying 7(2x + -5) + -11 = 3(5x + -2) + -2x Reorder the terms: 7(-5 + 2x) + -11 = 3(5x + -2) + -2x (-5 * 7 + 2x * 7) + -11 = 3(5x + -2) + -2x (-35 + 14x) + -11 = 3(5x + -2) + -2x Reorder the terms: -35 + -11 + 14x = 3(5x + -2) + -2x Combine like terms: -35 + -11 = -46 -46 + 14x = 3(5x + -2) + -2x Reorder the terms: -46 + 14x = 3(-2 + 5x) + -2x -46 + 14x = (-2 * 3 + 5x * 3) + -2x -46 + 14x = (-6 + 15x) + -2x Combine like terms: 15x + -2x = 13x -46 + 14x = -6 + 13x Solving -46 + 14x = -6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -46 + 14x + -13x = -6 + 13x + -13x Combine like terms: 14x + -13x = 1x -46 + 1x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 -46 + 1x = -6 + 0 -46 + 1x = -6 Add '46' to each side of the equation. -46 + 46 + 1x = -6 + 46 Combine like terms: -46 + 46 = 0 0 + 1x = -6 + 46 1x = -6 + 46 Combine like terms: -6 + 46 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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