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Simplifying -2(2x + -7) + 5 = 7(x + 4) Reorder the terms: -2(-7 + 2x) + 5 = 7(x + 4) (-7 * -2 + 2x * -2) + 5 = 7(x + 4) (14 + -4x) + 5 = 7(x + 4) Reorder the terms: 14 + 5 + -4x = 7(x + 4) Combine like terms: 14 + 5 = 19 19 + -4x = 7(x + 4) Reorder the terms: 19 + -4x = 7(4 + x) 19 + -4x = (4 * 7 + x * 7) 19 + -4x = (28 + 7x) Solving 19 + -4x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19 + -4x + -7x = 28 + 7x + -7x Combine like terms: -4x + -7x = -11x 19 + -11x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + -11x = 28 + 0 19 + -11x = 28 Add '-19' to each side of the equation. 19 + -19 + -11x = 28 + -19 Combine like terms: 19 + -19 = 0 0 + -11x = 28 + -19 -11x = 28 + -19 Combine like terms: 28 + -19 = 9 -11x = 9 Divide each side by '-11'. x = -0.8181818182 Simplifying x = -0.8181818182
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