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Simplifying 3x + -18 + -1(6x + -4) = 10 + 3(2 + 4x) Reorder the terms: 3x + -18 + -1(-4 + 6x) = 10 + 3(2 + 4x) 3x + -18 + (-4 * -1 + 6x * -1) = 10 + 3(2 + 4x) 3x + -18 + (4 + -6x) = 10 + 3(2 + 4x) Reorder the terms: -18 + 4 + 3x + -6x = 10 + 3(2 + 4x) Combine like terms: -18 + 4 = -14 -14 + 3x + -6x = 10 + 3(2 + 4x) Combine like terms: 3x + -6x = -3x -14 + -3x = 10 + 3(2 + 4x) -14 + -3x = 10 + (2 * 3 + 4x * 3) -14 + -3x = 10 + (6 + 12x) Combine like terms: 10 + 6 = 16 -14 + -3x = 16 + 12x Solving -14 + -3x = 16 + 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. -14 + -3x + -12x = 16 + 12x + -12x Combine like terms: -3x + -12x = -15x -14 + -15x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -15x = 16 + 0 -14 + -15x = 16 Add '14' to each side of the equation. -14 + 14 + -15x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -15x = 16 + 14 -15x = 16 + 14 Combine like terms: 16 + 14 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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