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Simplifying 2(4x + -1) + 3 = 7x + -5 Reorder the terms: 2(-1 + 4x) + 3 = 7x + -5 (-1 * 2 + 4x * 2) + 3 = 7x + -5 (-2 + 8x) + 3 = 7x + -5 Reorder the terms: -2 + 3 + 8x = 7x + -5 Combine like terms: -2 + 3 = 1 1 + 8x = 7x + -5 Reorder the terms: 1 + 8x = -5 + 7x Solving 1 + 8x = -5 + 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. 1 + 8x + -7x = -5 + 7x + -7x Combine like terms: 8x + -7x = 1x 1 + 1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 1x = -5 + 0 1 + 1x = -5 Add '-1' to each side of the equation. 1 + -1 + 1x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -5 + -1 1x = -5 + -1 Combine like terms: -5 + -1 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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