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Simplifying 2(x + -3) + 5x = -7(x + -1) Reorder the terms: 2(-3 + x) + 5x = -7(x + -1) (-3 * 2 + x * 2) + 5x = -7(x + -1) (-6 + 2x) + 5x = -7(x + -1) Combine like terms: 2x + 5x = 7x -6 + 7x = -7(x + -1) Reorder the terms: -6 + 7x = -7(-1 + x) -6 + 7x = (-1 * -7 + x * -7) -6 + 7x = (7 + -7x) Solving -6 + 7x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + 7x + 7x = 7 + -7x + 7x Combine like terms: 7x + 7x = 14x -6 + 14x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 14x = 7 + 0 -6 + 14x = 7 Add '6' to each side of the equation. -6 + 6 + 14x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 7 + 6 14x = 7 + 6 Combine like terms: 7 + 6 = 13 14x = 13 Divide each side by '14'. x = 0.9285714286 Simplifying x = 0.9285714286
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