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Simplifying 2(5 + -4x) = 3 + -7x (5 * 2 + -4x * 2) = 3 + -7x (10 + -8x) = 3 + -7x Solving 10 + -8x = 3 + -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 + -8x + 7x = 3 + -7x + 7x Combine like terms: -8x + 7x = -1x 10 + -1x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + -1x = 3 + 0 10 + -1x = 3 Add '-10' to each side of the equation. 10 + -10 + -1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 3 + -10 -1x = 3 + -10 Combine like terms: 3 + -10 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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