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Simplifying 2x + 10 = -7(7x + -4) Reorder the terms: 10 + 2x = -7(7x + -4) Reorder the terms: 10 + 2x = -7(-4 + 7x) 10 + 2x = (-4 * -7 + 7x * -7) 10 + 2x = (28 + -49x) Solving 10 + 2x = 28 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 10 + 2x + 49x = 28 + -49x + 49x Combine like terms: 2x + 49x = 51x 10 + 51x = 28 + -49x + 49x Combine like terms: -49x + 49x = 0 10 + 51x = 28 + 0 10 + 51x = 28 Add '-10' to each side of the equation. 10 + -10 + 51x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 51x = 28 + -10 51x = 28 + -10 Combine like terms: 28 + -10 = 18 51x = 18 Divide each side by '51'. x = 0.3529411765 Simplifying x = 0.3529411765
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