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Simplifying 7x + 1 = 2(3x + -4) Reorder the terms: 1 + 7x = 2(3x + -4) Reorder the terms: 1 + 7x = 2(-4 + 3x) 1 + 7x = (-4 * 2 + 3x * 2) 1 + 7x = (-8 + 6x) Solving 1 + 7x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 7x + -6x = -8 + 6x + -6x Combine like terms: 7x + -6x = 1x 1 + 1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 1x = -8 + 0 1 + 1x = -8 Add '-1' to each side of the equation. 1 + -1 + 1x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -8 + -1 1x = -8 + -1 Combine like terms: -8 + -1 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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