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Simplifying 3(6x + -1) + -3(3x + -4) = 8x + 4 Reorder the terms: 3(-1 + 6x) + -3(3x + -4) = 8x + 4 (-1 * 3 + 6x * 3) + -3(3x + -4) = 8x + 4 (-3 + 18x) + -3(3x + -4) = 8x + 4 Reorder the terms: -3 + 18x + -3(-4 + 3x) = 8x + 4 -3 + 18x + (-4 * -3 + 3x * -3) = 8x + 4 -3 + 18x + (12 + -9x) = 8x + 4 Reorder the terms: -3 + 12 + 18x + -9x = 8x + 4 Combine like terms: -3 + 12 = 9 9 + 18x + -9x = 8x + 4 Combine like terms: 18x + -9x = 9x 9 + 9x = 8x + 4 Reorder the terms: 9 + 9x = 4 + 8x Solving 9 + 9x = 4 + 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. 9 + 9x + -8x = 4 + 8x + -8x Combine like terms: 9x + -8x = 1x 9 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 1x = 4 + 0 9 + 1x = 4 Add '-9' to each side of the equation. 9 + -9 + 1x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 4 + -9 1x = 4 + -9 Combine like terms: 4 + -9 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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