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Simplifying 2(5x + -4) + 3x + -2 = -114 Reorder the terms: 2(-4 + 5x) + 3x + -2 = -114 (-4 * 2 + 5x * 2) + 3x + -2 = -114 (-8 + 10x) + 3x + -2 = -114 Reorder the terms: -8 + -2 + 10x + 3x = -114 Combine like terms: -8 + -2 = -10 -10 + 10x + 3x = -114 Combine like terms: 10x + 3x = 13x -10 + 13x = -114 Solving -10 + 13x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 13x = -114 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = -114 + 10 13x = -114 + 10 Combine like terms: -114 + 10 = -104 13x = -104 Divide each side by '13'. x = -8 Simplifying x = -8
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