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Simplifying 2(x + 5) = 7(x + -10) Reorder the terms: 2(5 + x) = 7(x + -10) (5 * 2 + x * 2) = 7(x + -10) (10 + 2x) = 7(x + -10) Reorder the terms: 10 + 2x = 7(-10 + x) 10 + 2x = (-10 * 7 + x * 7) 10 + 2x = (-70 + 7x) Solving 10 + 2x = -70 + 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. 10 + 2x + -7x = -70 + 7x + -7x Combine like terms: 2x + -7x = -5x 10 + -5x = -70 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -5x = -70 + 0 10 + -5x = -70 Add '-10' to each side of the equation. 10 + -10 + -5x = -70 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -70 + -10 -5x = -70 + -10 Combine like terms: -70 + -10 = -80 -5x = -80 Divide each side by '-5'. x = 16 Simplifying x = 16
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