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Simplifying 5(x + -3) = 7(2x + 1) Reorder the terms: 5(-3 + x) = 7(2x + 1) (-3 * 5 + x * 5) = 7(2x + 1) (-15 + 5x) = 7(2x + 1) Reorder the terms: -15 + 5x = 7(1 + 2x) -15 + 5x = (1 * 7 + 2x * 7) -15 + 5x = (7 + 14x) Solving -15 + 5x = 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. -15 + 5x + -14x = 7 + 14x + -14x Combine like terms: 5x + -14x = -9x -15 + -9x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -15 + -9x = 7 + 0 -15 + -9x = 7 Add '15' to each side of the equation. -15 + 15 + -9x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 7 + 15 -9x = 7 + 15 Combine like terms: 7 + 15 = 22 -9x = 22 Divide each side by '-9'. x = -2.444444444 Simplifying x = -2.444444444
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