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Simplifying 3(x + -6) + 2x = 8x + 3 Reorder the terms: 3(-6 + x) + 2x = 8x + 3 (-6 * 3 + x * 3) + 2x = 8x + 3 (-18 + 3x) + 2x = 8x + 3 Combine like terms: 3x + 2x = 5x -18 + 5x = 8x + 3 Reorder the terms: -18 + 5x = 3 + 8x Solving -18 + 5x = 3 + 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. -18 + 5x + -8x = 3 + 8x + -8x Combine like terms: 5x + -8x = -3x -18 + -3x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -3x = 3 + 0 -18 + -3x = 3 Add '18' to each side of the equation. -18 + 18 + -3x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = 3 + 18 -3x = 3 + 18 Combine like terms: 3 + 18 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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