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Simplifying 6x + -2(x + 3) = 3(x + 3) + 8 Reorder the terms: 6x + -2(3 + x) = 3(x + 3) + 8 6x + (3 * -2 + x * -2) = 3(x + 3) + 8 6x + (-6 + -2x) = 3(x + 3) + 8 Reorder the terms: -6 + 6x + -2x = 3(x + 3) + 8 Combine like terms: 6x + -2x = 4x -6 + 4x = 3(x + 3) + 8 Reorder the terms: -6 + 4x = 3(3 + x) + 8 -6 + 4x = (3 * 3 + x * 3) + 8 -6 + 4x = (9 + 3x) + 8 Reorder the terms: -6 + 4x = 9 + 8 + 3x Combine like terms: 9 + 8 = 17 -6 + 4x = 17 + 3x Solving -6 + 4x = 17 + 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 = 17 + 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = 17 + 0 -6 + 1x = 17 Add '6' to each side of the equation. -6 + 6 + 1x = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 17 + 6 1x = 17 + 6 Combine like terms: 17 + 6 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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