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Simplifying 6(3x + -2) = 12x + 3(x + -10) Reorder the terms: 6(-2 + 3x) = 12x + 3(x + -10) (-2 * 6 + 3x * 6) = 12x + 3(x + -10) (-12 + 18x) = 12x + 3(x + -10) Reorder the terms: -12 + 18x = 12x + 3(-10 + x) -12 + 18x = 12x + (-10 * 3 + x * 3) -12 + 18x = 12x + (-30 + 3x) Reorder the terms: -12 + 18x = -30 + 12x + 3x Combine like terms: 12x + 3x = 15x -12 + 18x = -30 + 15x Solving -12 + 18x = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 18x + -15x = -30 + 15x + -15x Combine like terms: 18x + -15x = 3x -12 + 3x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + 3x = -30 + 0 -12 + 3x = -30 Add '12' to each side of the equation. -12 + 12 + 3x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -30 + 12 3x = -30 + 12 Combine like terms: -30 + 12 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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