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Simplifying -114 = -2x + 3(4x + 2) Reorder the terms: -114 = -2x + 3(2 + 4x) -114 = -2x + (2 * 3 + 4x * 3) -114 = -2x + (6 + 12x) Reorder the terms: -114 = 6 + -2x + 12x Combine like terms: -2x + 12x = 10x -114 = 6 + 10x Solving -114 = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -114 + -10x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -114 + -10x = 6 + 0 -114 + -10x = 6 Add '114' to each side of the equation. -114 + 114 + -10x = 6 + 114 Combine like terms: -114 + 114 = 0 0 + -10x = 6 + 114 -10x = 6 + 114 Combine like terms: 6 + 114 = 120 -10x = 120 Divide each side by '-10'. x = -12 Simplifying x = -12
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