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Simplifying 6(3x + 1) + -39 = 3(2x + -4) Reorder the terms: 6(1 + 3x) + -39 = 3(2x + -4) (1 * 6 + 3x * 6) + -39 = 3(2x + -4) (6 + 18x) + -39 = 3(2x + -4) Reorder the terms: 6 + -39 + 18x = 3(2x + -4) Combine like terms: 6 + -39 = -33 -33 + 18x = 3(2x + -4) Reorder the terms: -33 + 18x = 3(-4 + 2x) -33 + 18x = (-4 * 3 + 2x * 3) -33 + 18x = (-12 + 6x) Solving -33 + 18x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -33 + 18x + -6x = -12 + 6x + -6x Combine like terms: 18x + -6x = 12x -33 + 12x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -33 + 12x = -12 + 0 -33 + 12x = -12 Add '33' to each side of the equation. -33 + 33 + 12x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + 12x = -12 + 33 12x = -12 + 33 Combine like terms: -12 + 33 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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