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