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Simplifying 7(2x + -1) = 5(3x + -2) Reorder the terms: 7(-1 + 2x) = 5(3x + -2) (-1 * 7 + 2x * 7) = 5(3x + -2) (-7 + 14x) = 5(3x + -2) Reorder the terms: -7 + 14x = 5(-2 + 3x) -7 + 14x = (-2 * 5 + 3x * 5) -7 + 14x = (-10 + 15x) Solving -7 + 14x = -10 + 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 = -10 + 15x + -15x Combine like terms: 14x + -15x = -1x -7 + -1x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 + -1x = -10 + 0 -7 + -1x = -10 Add '7' to each side of the equation. -7 + 7 + -1x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -10 + 7 -1x = -10 + 7 Combine like terms: -10 + 7 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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