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Simplifying 5(3x + -2) = 7(2x + -1) Reorder the terms: 5(-2 + 3x) = 7(2x + -1) (-2 * 5 + 3x * 5) = 7(2x + -1) (-10 + 15x) = 7(2x + -1) Reorder the terms: -10 + 15x = 7(-1 + 2x) -10 + 15x = (-1 * 7 + 2x * 7) -10 + 15x = (-7 + 14x) Solving -10 + 15x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -10 + 15x + -14x = -7 + 14x + -14x Combine like terms: 15x + -14x = 1x -10 + 1x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + 1x = -7 + 0 -10 + 1x = -7 Add '10' to each side of the equation. -10 + 10 + 1x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -7 + 10 1x = -7 + 10 Combine like terms: -7 + 10 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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