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Simplifying -14x + 64 = -5(3x + -11) Reorder the terms: 64 + -14x = -5(3x + -11) Reorder the terms: 64 + -14x = -5(-11 + 3x) 64 + -14x = (-11 * -5 + 3x * -5) 64 + -14x = (55 + -15x) Solving 64 + -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. 64 + -14x + 15x = 55 + -15x + 15x Combine like terms: -14x + 15x = 1x 64 + 1x = 55 + -15x + 15x Combine like terms: -15x + 15x = 0 64 + 1x = 55 + 0 64 + 1x = 55 Add '-64' to each side of the equation. 64 + -64 + 1x = 55 + -64 Combine like terms: 64 + -64 = 0 0 + 1x = 55 + -64 1x = 55 + -64 Combine like terms: 55 + -64 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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