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Simplifying 2(3x + 5) = 7(2x + -10) Reorder the terms: 2(5 + 3x) = 7(2x + -10) (5 * 2 + 3x * 2) = 7(2x + -10) (10 + 6x) = 7(2x + -10) Reorder the terms: 10 + 6x = 7(-10 + 2x) 10 + 6x = (-10 * 7 + 2x * 7) 10 + 6x = (-70 + 14x) Solving 10 + 6x = -70 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 10 + 6x + -14x = -70 + 14x + -14x Combine like terms: 6x + -14x = -8x 10 + -8x = -70 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + -8x = -70 + 0 10 + -8x = -70 Add '-10' to each side of the equation. 10 + -10 + -8x = -70 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -70 + -10 -8x = -70 + -10 Combine like terms: -70 + -10 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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