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Simplifying -4x + 7 = 5(x + -2) Reorder the terms: 7 + -4x = 5(x + -2) Reorder the terms: 7 + -4x = 5(-2 + x) 7 + -4x = (-2 * 5 + x * 5) 7 + -4x = (-10 + 5x) Solving 7 + -4x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -4x + -5x = -10 + 5x + -5x Combine like terms: -4x + -5x = -9x 7 + -9x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -9x = -10 + 0 7 + -9x = -10 Add '-7' to each side of the equation. 7 + -7 + -9x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -10 + -7 -9x = -10 + -7 Combine like terms: -10 + -7 = -17 -9x = -17 Divide each side by '-9'. x = 1.888888889 Simplifying x = 1.888888889
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