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Simplifying 10x + -3(3x + 2) = 2x + 8 Reorder the terms: 10x + -3(2 + 3x) = 2x + 8 10x + (2 * -3 + 3x * -3) = 2x + 8 10x + (-6 + -9x) = 2x + 8 Reorder the terms: -6 + 10x + -9x = 2x + 8 Combine like terms: 10x + -9x = 1x -6 + 1x = 2x + 8 Reorder the terms: -6 + 1x = 8 + 2x Solving -6 + 1x = 8 + 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. -6 + 1x + -2x = 8 + 2x + -2x Combine like terms: 1x + -2x = -1x -6 + -1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -1x = 8 + 0 -6 + -1x = 8 Add '6' to each side of the equation. -6 + 6 + -1x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 8 + 6 -1x = 8 + 6 Combine like terms: 8 + 6 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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