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Simplifying 2x + -12 + 3(x + -3) = 5 + x + 2(x + -6) Reorder the terms: 2x + -12 + 3(-3 + x) = 5 + x + 2(x + -6) 2x + -12 + (-3 * 3 + x * 3) = 5 + x + 2(x + -6) 2x + -12 + (-9 + 3x) = 5 + x + 2(x + -6) Reorder the terms: -12 + -9 + 2x + 3x = 5 + x + 2(x + -6) Combine like terms: -12 + -9 = -21 -21 + 2x + 3x = 5 + x + 2(x + -6) Combine like terms: 2x + 3x = 5x -21 + 5x = 5 + x + 2(x + -6) Reorder the terms: -21 + 5x = 5 + x + 2(-6 + x) -21 + 5x = 5 + x + (-6 * 2 + x * 2) -21 + 5x = 5 + x + (-12 + 2x) Reorder the terms: -21 + 5x = 5 + -12 + x + 2x Combine like terms: 5 + -12 = -7 -21 + 5x = -7 + x + 2x Combine like terms: x + 2x = 3x -21 + 5x = -7 + 3x Solving -21 + 5x = -7 + 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. -21 + 5x + -3x = -7 + 3x + -3x Combine like terms: 5x + -3x = 2x -21 + 2x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 2x = -7 + 0 -21 + 2x = -7 Add '21' to each side of the equation. -21 + 21 + 2x = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -7 + 21 2x = -7 + 21 Combine like terms: -7 + 21 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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