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Simplifying 2(3x + -6) + x = 18 + 3x + -10 Reorder the terms: 2(-6 + 3x) + x = 18 + 3x + -10 (-6 * 2 + 3x * 2) + x = 18 + 3x + -10 (-12 + 6x) + x = 18 + 3x + -10 Combine like terms: 6x + x = 7x -12 + 7x = 18 + 3x + -10 Reorder the terms: -12 + 7x = 18 + -10 + 3x Combine like terms: 18 + -10 = 8 -12 + 7x = 8 + 3x Solving -12 + 7x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 7x + -3x = 8 + 3x + -3x Combine like terms: 7x + -3x = 4x -12 + 4x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 4x = 8 + 0 -12 + 4x = 8 Add '12' to each side of the equation. -12 + 12 + 4x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 8 + 12 4x = 8 + 12 Combine like terms: 8 + 12 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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