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Simplifying x + -1(2 + -3x) = 5(2x + 6) x + (2 * -1 + -3x * -1) = 5(2x + 6) x + (-2 + 3x) = 5(2x + 6) Reorder the terms: -2 + x + 3x = 5(2x + 6) Combine like terms: x + 3x = 4x -2 + 4x = 5(2x + 6) Reorder the terms: -2 + 4x = 5(6 + 2x) -2 + 4x = (6 * 5 + 2x * 5) -2 + 4x = (30 + 10x) Solving -2 + 4x = 30 + 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. -2 + 4x + -10x = 30 + 10x + -10x Combine like terms: 4x + -10x = -6x -2 + -6x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -6x = 30 + 0 -2 + -6x = 30 Add '2' to each side of the equation. -2 + 2 + -6x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 30 + 2 -6x = 30 + 2 Combine like terms: 30 + 2 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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