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Simplifying -2x + 4 = 7(x + 7) Reorder the terms: 4 + -2x = 7(x + 7) Reorder the terms: 4 + -2x = 7(7 + x) 4 + -2x = (7 * 7 + x * 7) 4 + -2x = (49 + 7x) Solving 4 + -2x = 49 + 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. 4 + -2x + -7x = 49 + 7x + -7x Combine like terms: -2x + -7x = -9x 4 + -9x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -9x = 49 + 0 4 + -9x = 49 Add '-4' to each side of the equation. 4 + -4 + -9x = 49 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 49 + -4 -9x = 49 + -4 Combine like terms: 49 + -4 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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