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Simplifying 15(x + -4) = 9x + -6 + 3x + -12 Reorder the terms: 15(-4 + x) = 9x + -6 + 3x + -12 (-4 * 15 + x * 15) = 9x + -6 + 3x + -12 (-60 + 15x) = 9x + -6 + 3x + -12 Reorder the terms: -60 + 15x = -6 + -12 + 9x + 3x Combine like terms: -6 + -12 = -18 -60 + 15x = -18 + 9x + 3x Combine like terms: 9x + 3x = 12x -60 + 15x = -18 + 12x Solving -60 + 15x = -18 + 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. -60 + 15x + -12x = -18 + 12x + -12x Combine like terms: 15x + -12x = 3x -60 + 3x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -60 + 3x = -18 + 0 -60 + 3x = -18 Add '60' to each side of the equation. -60 + 60 + 3x = -18 + 60 Combine like terms: -60 + 60 = 0 0 + 3x = -18 + 60 3x = -18 + 60 Combine like terms: -18 + 60 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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