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Simplifying 5x + -3(2x + 6) = 8x + 18 Reorder the terms: 5x + -3(6 + 2x) = 8x + 18 5x + (6 * -3 + 2x * -3) = 8x + 18 5x + (-18 + -6x) = 8x + 18 Reorder the terms: -18 + 5x + -6x = 8x + 18 Combine like terms: 5x + -6x = -1x -18 + -1x = 8x + 18 Reorder the terms: -18 + -1x = 18 + 8x Solving -18 + -1x = 18 + 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 + -1x + -8x = 18 + 8x + -8x Combine like terms: -1x + -8x = -9x -18 + -9x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -9x = 18 + 0 -18 + -9x = 18 Add '18' to each side of the equation. -18 + 18 + -9x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 18 + 18 -9x = 18 + 18 Combine like terms: 18 + 18 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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