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Simplifying 3(6x + -1) + -3(3x + -15) = 8x + 16 Reorder the terms: 3(-1 + 6x) + -3(3x + -15) = 8x + 16 (-1 * 3 + 6x * 3) + -3(3x + -15) = 8x + 16 (-3 + 18x) + -3(3x + -15) = 8x + 16 Reorder the terms: -3 + 18x + -3(-15 + 3x) = 8x + 16 -3 + 18x + (-15 * -3 + 3x * -3) = 8x + 16 -3 + 18x + (45 + -9x) = 8x + 16 Reorder the terms: -3 + 45 + 18x + -9x = 8x + 16 Combine like terms: -3 + 45 = 42 42 + 18x + -9x = 8x + 16 Combine like terms: 18x + -9x = 9x 42 + 9x = 8x + 16 Reorder the terms: 42 + 9x = 16 + 8x Solving 42 + 9x = 16 + 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. 42 + 9x + -8x = 16 + 8x + -8x Combine like terms: 9x + -8x = 1x 42 + 1x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + 1x = 16 + 0 42 + 1x = 16 Add '-42' to each side of the equation. 42 + -42 + 1x = 16 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 16 + -42 1x = 16 + -42 Combine like terms: 16 + -42 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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