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Simplifying 7(2x + 5) = 4x + -5(x + 11) Reorder the terms: 7(5 + 2x) = 4x + -5(x + 11) (5 * 7 + 2x * 7) = 4x + -5(x + 11) (35 + 14x) = 4x + -5(x + 11) Reorder the terms: 35 + 14x = 4x + -5(11 + x) 35 + 14x = 4x + (11 * -5 + x * -5) 35 + 14x = 4x + (-55 + -5x) Reorder the terms: 35 + 14x = -55 + 4x + -5x Combine like terms: 4x + -5x = -1x 35 + 14x = -55 + -1x Solving 35 + 14x = -55 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 35 + 14x + x = -55 + -1x + x Combine like terms: 14x + x = 15x 35 + 15x = -55 + -1x + x Combine like terms: -1x + x = 0 35 + 15x = -55 + 0 35 + 15x = -55 Add '-35' to each side of the equation. 35 + -35 + 15x = -55 + -35 Combine like terms: 35 + -35 = 0 0 + 15x = -55 + -35 15x = -55 + -35 Combine like terms: -55 + -35 = -90 15x = -90 Divide each side by '15'. x = -6 Simplifying x = -6
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