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Simplifying -2(3x + 5) + 6x + -40 = 2x + 180 Reorder the terms: -2(5 + 3x) + 6x + -40 = 2x + 180 (5 * -2 + 3x * -2) + 6x + -40 = 2x + 180 (-10 + -6x) + 6x + -40 = 2x + 180 Reorder the terms: -10 + -40 + -6x + 6x = 2x + 180 Combine like terms: -10 + -40 = -50 -50 + -6x + 6x = 2x + 180 Combine like terms: -6x + 6x = 0 -50 + 0 = 2x + 180 -50 = 2x + 180 Reorder the terms: -50 = 180 + 2x Solving -50 = 180 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -50 + -2x = 180 + 2x + -2x Combine like terms: 2x + -2x = 0 -50 + -2x = 180 + 0 -50 + -2x = 180 Add '50' to each side of the equation. -50 + 50 + -2x = 180 + 50 Combine like terms: -50 + 50 = 0 0 + -2x = 180 + 50 -2x = 180 + 50 Combine like terms: 180 + 50 = 230 -2x = 230 Divide each side by '-2'. x = -115 Simplifying x = -115
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