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Simplifying 7(2x + -1) = -3(5x + -3) Reorder the terms: 7(-1 + 2x) = -3(5x + -3) (-1 * 7 + 2x * 7) = -3(5x + -3) (-7 + 14x) = -3(5x + -3) Reorder the terms: -7 + 14x = -3(-3 + 5x) -7 + 14x = (-3 * -3 + 5x * -3) -7 + 14x = (9 + -15x) Solving -7 + 14x = 9 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -7 + 14x + 15x = 9 + -15x + 15x Combine like terms: 14x + 15x = 29x -7 + 29x = 9 + -15x + 15x Combine like terms: -15x + 15x = 0 -7 + 29x = 9 + 0 -7 + 29x = 9 Add '7' to each side of the equation. -7 + 7 + 29x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 29x = 9 + 7 29x = 9 + 7 Combine like terms: 9 + 7 = 16 29x = 16 Divide each side by '29'. x = 0.5517241379 Simplifying x = 0.5517241379
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