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Simplifying -114 = -7x + -3(2x + 12) Reorder the terms: -114 = -7x + -3(12 + 2x) -114 = -7x + (12 * -3 + 2x * -3) -114 = -7x + (-36 + -6x) Reorder the terms: -114 = -36 + -7x + -6x Combine like terms: -7x + -6x = -13x -114 = -36 + -13x Solving -114 = -36 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -114 + 13x = -36 + -13x + 13x Combine like terms: -13x + 13x = 0 -114 + 13x = -36 + 0 -114 + 13x = -36 Add '114' to each side of the equation. -114 + 114 + 13x = -36 + 114 Combine like terms: -114 + 114 = 0 0 + 13x = -36 + 114 13x = -36 + 114 Combine like terms: -36 + 114 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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