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Simplifying 6(2x + -3) = -4(8 + x) + -5x + -1 Reorder the terms: 6(-3 + 2x) = -4(8 + x) + -5x + -1 (-3 * 6 + 2x * 6) = -4(8 + x) + -5x + -1 (-18 + 12x) = -4(8 + x) + -5x + -1 -18 + 12x = (8 * -4 + x * -4) + -5x + -1 -18 + 12x = (-32 + -4x) + -5x + -1 Reorder the terms: -18 + 12x = -32 + -1 + -4x + -5x Combine like terms: -32 + -1 = -33 -18 + 12x = -33 + -4x + -5x Combine like terms: -4x + -5x = -9x -18 + 12x = -33 + -9x Solving -18 + 12x = -33 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -18 + 12x + 9x = -33 + -9x + 9x Combine like terms: 12x + 9x = 21x -18 + 21x = -33 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 21x = -33 + 0 -18 + 21x = -33 Add '18' to each side of the equation. -18 + 18 + 21x = -33 + 18 Combine like terms: -18 + 18 = 0 0 + 21x = -33 + 18 21x = -33 + 18 Combine like terms: -33 + 18 = -15 21x = -15 Divide each side by '21'. x = -0.7142857143 Simplifying x = -0.7142857143
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