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Simplifying (x + -12) + 3(x + 2) = 6x + -30 Reorder the terms: (-12 + x) + 3(x + 2) = 6x + -30 Remove parenthesis around (-12 + x) -12 + x + 3(x + 2) = 6x + -30 Reorder the terms: -12 + x + 3(2 + x) = 6x + -30 -12 + x + (2 * 3 + x * 3) = 6x + -30 -12 + x + (6 + 3x) = 6x + -30 Reorder the terms: -12 + 6 + x + 3x = 6x + -30 Combine like terms: -12 + 6 = -6 -6 + x + 3x = 6x + -30 Combine like terms: x + 3x = 4x -6 + 4x = 6x + -30 Reorder the terms: -6 + 4x = -30 + 6x Solving -6 + 4x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 4x + -6x = -30 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = -30 + 0 -6 + -2x = -30 Add '6' to each side of the equation. -6 + 6 + -2x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -30 + 6 -2x = -30 + 6 Combine like terms: -30 + 6 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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