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Simplifying 7x + -5 + 2(3 + -4x) = 6 + -2x 7x + -5 + (3 * 2 + -4x * 2) = 6 + -2x 7x + -5 + (6 + -8x) = 6 + -2x Reorder the terms: -5 + 6 + 7x + -8x = 6 + -2x Combine like terms: -5 + 6 = 1 1 + 7x + -8x = 6 + -2x Combine like terms: 7x + -8x = -1x 1 + -1x = 6 + -2x Solving 1 + -1x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + -1x + 2x = 6 + -2x + 2x Combine like terms: -1x + 2x = 1x 1 + 1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 1x = 6 + 0 1 + 1x = 6 Add '-1' to each side of the equation. 1 + -1 + 1x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 6 + -1 1x = 6 + -1 Combine like terms: 6 + -1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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