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Simplifying 5x + -7 = 21(1 + x) Reorder the terms: -7 + 5x = 21(1 + x) -7 + 5x = (1 * 21 + x * 21) -7 + 5x = (21 + 21x) Solving -7 + 5x = 21 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -7 + 5x + -21x = 21 + 21x + -21x Combine like terms: 5x + -21x = -16x -7 + -16x = 21 + 21x + -21x Combine like terms: 21x + -21x = 0 -7 + -16x = 21 + 0 -7 + -16x = 21 Add '7' to each side of the equation. -7 + 7 + -16x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -16x = 21 + 7 -16x = 21 + 7 Combine like terms: 21 + 7 = 28 -16x = 28 Divide each side by '-16'. x = -1.75 Simplifying x = -1.75
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