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Simplifying 7(6 + -2x) = 5(-3x + 11) (6 * 7 + -2x * 7) = 5(-3x + 11) (42 + -14x) = 5(-3x + 11) Reorder the terms: 42 + -14x = 5(11 + -3x) 42 + -14x = (11 * 5 + -3x * 5) 42 + -14x = (55 + -15x) Solving 42 + -14x = 55 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 42 + -14x + 15x = 55 + -15x + 15x Combine like terms: -14x + 15x = 1x 42 + 1x = 55 + -15x + 15x Combine like terms: -15x + 15x = 0 42 + 1x = 55 + 0 42 + 1x = 55 Add '-42' to each side of the equation. 42 + -42 + 1x = 55 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 55 + -42 1x = 55 + -42 Combine like terms: 55 + -42 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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