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Simplifying 5(x + -10) = 7(x + -2) Reorder the terms: 5(-10 + x) = 7(x + -2) (-10 * 5 + x * 5) = 7(x + -2) (-50 + 5x) = 7(x + -2) Reorder the terms: -50 + 5x = 7(-2 + x) -50 + 5x = (-2 * 7 + x * 7) -50 + 5x = (-14 + 7x) Solving -50 + 5x = -14 + 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. -50 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x -50 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -50 + -2x = -14 + 0 -50 + -2x = -14 Add '50' to each side of the equation. -50 + 50 + -2x = -14 + 50 Combine like terms: -50 + 50 = 0 0 + -2x = -14 + 50 -2x = -14 + 50 Combine like terms: -14 + 50 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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