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Simplifying 2(3x + -1) = 3(5x + -7) Reorder the terms: 2(-1 + 3x) = 3(5x + -7) (-1 * 2 + 3x * 2) = 3(5x + -7) (-2 + 6x) = 3(5x + -7) Reorder the terms: -2 + 6x = 3(-7 + 5x) -2 + 6x = (-7 * 3 + 5x * 3) -2 + 6x = (-21 + 15x) Solving -2 + 6x = -21 + 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. -2 + 6x + -15x = -21 + 15x + -15x Combine like terms: 6x + -15x = -9x -2 + -9x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 -2 + -9x = -21 + 0 -2 + -9x = -21 Add '2' to each side of the equation. -2 + 2 + -9x = -21 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -21 + 2 -9x = -21 + 2 Combine like terms: -21 + 2 = -19 -9x = -19 Divide each side by '-9'. x = 2.111111111 Simplifying x = 2.111111111
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