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