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Simplifying 7x(x + -1) + 5x + 4 = 7(x2 + 10) Reorder the terms: 7x(-1 + x) + 5x + 4 = 7(x2 + 10) (-1 * 7x + x * 7x) + 5x + 4 = 7(x2 + 10) (-7x + 7x2) + 5x + 4 = 7(x2 + 10) Reorder the terms: 4 + -7x + 5x + 7x2 = 7(x2 + 10) Combine like terms: -7x + 5x = -2x 4 + -2x + 7x2 = 7(x2 + 10) Reorder the terms: 4 + -2x + 7x2 = 7(10 + x2) 4 + -2x + 7x2 = (10 * 7 + x2 * 7) 4 + -2x + 7x2 = (70 + 7x2) Add '-7x2' to each side of the equation. 4 + -2x + 7x2 + -7x2 = 70 + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 4 + -2x + 0 = 70 + 7x2 + -7x2 4 + -2x = 70 + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 4 + -2x = 70 + 0 4 + -2x = 70 Solving 4 + -2x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2x = 70 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 70 + -4 -2x = 70 + -4 Combine like terms: 70 + -4 = 66 -2x = 66 Divide each side by '-2'. x = -33 Simplifying x = -33
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