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Simplifying 7(2x + -3) + -2 = 8x + 1 Reorder the terms: 7(-3 + 2x) + -2 = 8x + 1 (-3 * 7 + 2x * 7) + -2 = 8x + 1 (-21 + 14x) + -2 = 8x + 1 Reorder the terms: -21 + -2 + 14x = 8x + 1 Combine like terms: -21 + -2 = -23 -23 + 14x = 8x + 1 Reorder the terms: -23 + 14x = 1 + 8x Solving -23 + 14x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -23 + 14x + -8x = 1 + 8x + -8x Combine like terms: 14x + -8x = 6x -23 + 6x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -23 + 6x = 1 + 0 -23 + 6x = 1 Add '23' to each side of the equation. -23 + 23 + 6x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = 1 + 23 6x = 1 + 23 Combine like terms: 1 + 23 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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