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Simplifying 3x + -5x + -1 = 2(x + -5) Reorder the terms: -1 + 3x + -5x = 2(x + -5) Combine like terms: 3x + -5x = -2x -1 + -2x = 2(x + -5) Reorder the terms: -1 + -2x = 2(-5 + x) -1 + -2x = (-5 * 2 + x * 2) -1 + -2x = (-10 + 2x) Solving -1 + -2x = -10 + 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. -1 + -2x + -2x = -10 + 2x + -2x Combine like terms: -2x + -2x = -4x -1 + -4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -4x = -10 + 0 -1 + -4x = -10 Add '1' to each side of the equation. -1 + 1 + -4x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -10 + 1 -4x = -10 + 1 Combine like terms: -10 + 1 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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