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Simplifying 2(x + -1) = 3 + -4x + -5(10 + -3x) Reorder the terms: 2(-1 + x) = 3 + -4x + -5(10 + -3x) (-1 * 2 + x * 2) = 3 + -4x + -5(10 + -3x) (-2 + 2x) = 3 + -4x + -5(10 + -3x) -2 + 2x = 3 + -4x + (10 * -5 + -3x * -5) -2 + 2x = 3 + -4x + (-50 + 15x) Reorder the terms: -2 + 2x = 3 + -50 + -4x + 15x Combine like terms: 3 + -50 = -47 -2 + 2x = -47 + -4x + 15x Combine like terms: -4x + 15x = 11x -2 + 2x = -47 + 11x Solving -2 + 2x = -47 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 2x + -11x = -47 + 11x + -11x Combine like terms: 2x + -11x = -9x -2 + -9x = -47 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + -9x = -47 + 0 -2 + -9x = -47 Add '2' to each side of the equation. -2 + 2 + -9x = -47 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -47 + 2 -9x = -47 + 2 Combine like terms: -47 + 2 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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