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Simplifying 3x + -7 = 6x + -5(2x + 1) Reorder the terms: -7 + 3x = 6x + -5(2x + 1) Reorder the terms: -7 + 3x = 6x + -5(1 + 2x) -7 + 3x = 6x + (1 * -5 + 2x * -5) -7 + 3x = 6x + (-5 + -10x) Reorder the terms: -7 + 3x = -5 + 6x + -10x Combine like terms: 6x + -10x = -4x -7 + 3x = -5 + -4x Solving -7 + 3x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + 3x + 4x = -5 + -4x + 4x Combine like terms: 3x + 4x = 7x -7 + 7x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 7x = -5 + 0 -7 + 7x = -5 Add '7' to each side of the equation. -7 + 7 + 7x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = -5 + 7 7x = -5 + 7 Combine like terms: -5 + 7 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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