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Simplifying 15(x + -3) = 6(2x + -1) Reorder the terms: 15(-3 + x) = 6(2x + -1) (-3 * 15 + x * 15) = 6(2x + -1) (-45 + 15x) = 6(2x + -1) Reorder the terms: -45 + 15x = 6(-1 + 2x) -45 + 15x = (-1 * 6 + 2x * 6) -45 + 15x = (-6 + 12x) Solving -45 + 15x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -45 + 15x + -12x = -6 + 12x + -12x Combine like terms: 15x + -12x = 3x -45 + 3x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -45 + 3x = -6 + 0 -45 + 3x = -6 Add '45' to each side of the equation. -45 + 45 + 3x = -6 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -6 + 45 3x = -6 + 45 Combine like terms: -6 + 45 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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