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Simplifying 5(x + -1) = 7(x + 3) Reorder the terms: 5(-1 + x) = 7(x + 3) (-1 * 5 + x * 5) = 7(x + 3) (-5 + 5x) = 7(x + 3) Reorder the terms: -5 + 5x = 7(3 + x) -5 + 5x = (3 * 7 + x * 7) -5 + 5x = (21 + 7x) Solving -5 + 5x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 5x + -7x = 21 + 7x + -7x Combine like terms: 5x + -7x = -2x -5 + -2x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -2x = 21 + 0 -5 + -2x = 21 Add '5' to each side of the equation. -5 + 5 + -2x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 21 + 5 -2x = 21 + 5 Combine like terms: 21 + 5 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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